List of Publications
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Precompact minimal topologies on rings, Annuaire Univ. Sofia Fac. Math. Méc. 67, (1972/73) 391-397.
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Precompact minimal topologies on Noetherian domains, C. R. Acad. Bulgare
Sci. 29, (1976) 1561-1562.
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Minimal ring topologies and Krull dimension, Topology, Vol. II (Proc. Fourth
Colloq., Budapest, 1978), pp. 357--366, Colloq. Math. Soc. János
Bolyai, 23, North-Holland, Amsterdam-New York, 1980.
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On a class of topological rings, Proc. 7-th Conf. of the Union of Bulg.
Math., Sunny Beach, (1978) 305-313 (in Bulgarian).
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Minimal extensions of finite fields, Proc. 8-th Conf. of the Union of Bulg.
Math., Sunny Beach, (1979) 208-215 (in Bulgarian).
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Minimal topologies on rings, Proc. 8-th Conf. of the Union of Bulg. Math.,
Sunny Beach, (1979) 5-13 (in Bulgarian).
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Extension of minimal ring topologies, General topology and its relations
to modern analysis and algebra, V (Prague, 1981), 132--144, Sigma Ser.
Pure Math., 3, Heldermann, Berlin, 1983.
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Minimal topological rings, Serdica 8, (1982) 139-165.
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Totally minimal topological groups, Annuaire Univ. Sofia Fac. Math. Méc.
69, (1974/75) 5-11 (jointly with Iv. Prodanov).
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A class of compact abelian groups, Annuaire Univ. Sofia, Fac. Math. Méc.
70, (1975/76) 191-206 (jointly with Iv. Prodanov).
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A-classes of minimal abelian groups, Annuaire Univ. Sofia Fac. Math.
Méc. 71, part II, (1976/77) 53-62 (jointly with L. Stoyanov).
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A topological characterization of p-adic numbers and an application
to minimal Galois extensions, Annuaire Univ. Sofia, Fac. Math. Méc.
73, (1979) 103-110.
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Criterion for minimality of all subgroups of a topological abelian group,
C. R. Acad. Bulgare Sci. 34, (1981) 635-638 (jointly with L. Stoyanov).
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Rings with only ideal topologies, Comm. Math. Univ. S. Pauli, 29, n. 2
(1980), 157-167 (jointly with W. Wieslaw).
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Invariant ideals and the variety of complexes, Bollettino U. M. I. (6)
2-B (1983) 33-50 (jointly with E. Ballico)
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On a property of the one-dimensional torus, Rend. Sem. Mat. Univ. Padova
69, (1983) 277-288 (jointly with N. Rodinò)
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On a class of finite-dimensional compact abelian groups, Topology, theory
and applications (Eger, 1983), 215--231, Colloq. Math. Soc. János
Bolyai, 41, North-Holland, Amsterdam-New York, 1985.
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Closure operators induced by topological epireflections, Topology, theory
and applications, (Eger, 1983), 233-246, Coll. Math. Soc. János
Bolyai 41, North-Holland, Amsterdam-New York, 1985 (jointly with E. Giuli).
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Minimal topologies on divisible groups, Lecture Notes in Mathematics, Vol.
1060, Springer-Verlag, Berlin, (1984) 216-226.
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Minimalizable topological groups, Suppl. Rend. del Circolo Mat. di Palermo
4, (1984) 43-57.
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Sugli anelli linearmente compatti, Suppl. Rend. del Circolo Mat.di Palermo,
Ser. II, 4, (1984), 59-74 (jointly with A. Orsatti).
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Compact groups with totally dense torsion part, Proc. Baku Topology Conf.
(1987) 231-238 (jointly with L. Stoyanov).
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Sur la minimalité des produits de groupes topologiques abéliens,
C. R. Acad. Sci. Paris 299, Série I, (1984) 303-306.
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Epimorphisms and cowellpoweredness of epireflective subcategories of Top,
Supp. Rend. Circolo Mat. Palermo, Serie II, 6 (1984) 151-167 (jointly with
E. Giuli).
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On the structure of linearly compact rings and their dualities, Rend. Accad.
Naz. dei XL, Memorie di Mat., 102, vol. VIII, fasc. 9, (1984) 143-184 (jointly
with A. Orsatti).
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On a conjecture of Prodanov, C. R. Acad. Bulgare Sci. 38, (1985) 1117-1120.
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Quotients of minimal topological groups, Proc. 14 Conf. of the Union of
Bulg. Math., Sunny Beach, (1985) 234-237 (in collab. con N. Rodinò).
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Ordinal invariants and epimorfisms in some categories of weak Hausdorff
spaces, Comm. Math. Univ. Carolinae 27 (1986) 395-417 (jointly with E.
Giuli).
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Non-completeness measure of convergence abelian groups, General topology
and its relations to modern analysis and algebra, VI (Prague, 1986), 125--134,
R \& E Res. Exp. Math., 16, Heldermann, Berlin, 1988.
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On convergence groups with dense coarse subgroups, Czechoslovak J. Math.
37(112), (1987) 471-479 (jointly with R. Fri\v c e F.Zanolin).
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Sequentially closed and absolutely closed spaces, Bollettino U.M.I. (7)
1-B (1987), 849-860 (jointly with Iv. Gotchev).
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Closure operators I, Topology Appl. 27 (1987) 129-143 (jointly with E.Giuli).
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Topological categories and closure operators, Quaestiones Mathematicae,
11 (1988) 323-337 (jointly with E. Giuli e A. Tozzi).
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S(n)-\theta-closed spaces, Topology Appl. 28 (1988) 59-74 (jointly with
E. Giuli).
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On an unpublished manuscript of Ivan Prodanov concerning locally compact modules and their dualities. Comm. Algebra, 17 (1989) 2739-2771 (jointly
with A. Orsatti).
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Radicals and duality, General Algebra 1988, R. Mlitz (Ed.), Elsevier Sci. Publ. (North-Holland) 1990, p. 45-64.
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Compactness, minimality and closedness with respect to a closure operator, in: J. Adamek and S. MacLane ed., Categorical topology and its relation
to analysis, algebra and combinatorics, (Prague, 1988), 284--296 , World Sci. Publishing, Teaneck, NJ, 1989 (jointly with E. Giuli).
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Closure operators II, in: J. Adamek and S. MacLane ed. Categorical topology and its relation to analysis, algebra and combinatorics (Prague, 1988),
297--335, World Sci. Publishing, Teaneck, NJ, 1989 (jointly with E. Giuli e W. Tholen).
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Epimorphic order in S(\alpha), in: Proc. Conf. Mem. L. Chakalov 1886-1986, Sofia, January 1986, 57-65.
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Products of minimal abelian groups, Math. Zeit. 204 (1990) 583-603 (jointly with D. Shakhmatov).
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Pseudocompact topologizations of groups, Vestnik radova filozofskog fakulteta u Ni\v su, 4 (1990) 83-95 (jointly with D. Shakhmatov).
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Density and total density of the torsion part of a compact group, Rend.
Accad. Naz. dei XL, Memorie di Mat. 108, Vol. XIV, fasc. 13 (1990) 235-252.
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Critical power of minimality of countably compact and pseudocompact groups,
Comp. Rend. Acad. Sci. Bulg., 41, n. 10 (1990) 13-15 (jointly with D. Shakhmatov).
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Kasch bimodules, Rend. Sem. Mat. Univ. Padova, 85 (1991) 147-160 (jointly
with E. Gregorio e A. Orsatti).
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Factorizations, injectivity and compactness in categories of modules. Comm.
Algebra 19 (1), (1991) 45-83 (jointly with E. Giuli).
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Compact-like totally dense subgroups of compact groups, Proc. Amer. Math.
Soc. 114, no. 4 (1992) 1119-1129 (jointly with D. Shakhmatov)
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Pseudocompact and countably compact abelian groups: Cartesian products
and minimality, Trans. Amer. Math. Soc. 335, (1993) 775-790 (jointly with
D. Shakhmatov).
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Semiregular closure operators and epimorphisms in topological categories
invited lecture at Topology Conference, Lecce (Italy), 1990, Suppl. Rend.
Circ. Mat. Palermo, Serie II, n. 29 (1992) 105-160.
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Isomorphisms between finite powers of connected, totally minimal, pseudocompact,
Abelian groups, talk given at Topology Conference, Lecce (Italy), 1990,
Suppl. Rend. Circ. Mat. Palermo, Serie II, n. 29 (1992) 385-398 (jointly
with N. Rodinò).
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Inclusions preserving epimorphisms, Proc. Topol. Conf. Baku, (USSR), (1987)
220-230 (jointly with E. Giuli)
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Epimorphisms in categories of convergence spaces, Acta Math. Hung. 61 (3-4)
(1993), 197-203 (jointly with E. Giuli).
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On the lattice of linear module topologies, Comm. Algebra 21, (1) (1993)
275-298 (jointly with A. Tonolo).
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Dimension and connectedness in pseudo-compact groups, Comp. Rend. Acad.
Sci. Paris, 316, Série I (1993) 309-314.
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Zero-dimensionality of some pseudocompact groups, Proc. Amer. Math. Soc.
120, n. 4 (1994) 1299-1308.
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Connectedness and disconnectedness in pseudocompact groups, Rend. Accad.
Naz. dei
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Pseudocompact topologies on groups, Topology Proc. 17 (1992) 335-342 (jointly
with D. Shakhmatov).
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Classes of abelian groups related to sequential convergence, Comm. Algebra,
22 (15) (1994) 6073-6090.
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The category of S(\alpha)-spaces is not cowellpowered, Topology Appl.,
61 (1995) 137-150. (jointly with S. Watson).
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Convergence Groups: Sequential Compactness and Generalizations, International
Conference on Topology, Trieste 1993, Rend. Ist. Matematico Univ.di Trieste,
25 (1993) 141-173.
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Uniformly approachable functions and UA spaces, in: International
Conference on Topology, Trieste 1993, Rend. Ist. Matematico Univ.di Trieste,
25 (1993) 23-56 (jointly with Alessandro Berarducci).
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The lattice of compact representations of an infinite group, in: Groups
'93 Galway/St. Andrews, Vol. 1 (Galway, 1993), 138--155, London Math. Soc.
Lecture Note Ser. 211, Cambridge Univ. Press, Cambridge, 1995.
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Isomorphisms between homeomorphic topological groups, in: F. de Giovanni
and M. Newell, Eds., Infinite Groups 1994 (Ravello), 33--39, de Gruyter,
Berlin, 1996 (jointly with V. Uspenskij).
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On the poset of precompact group topologies, Topology with Applications,
(Szekszárd 1993), 135--149, Bolyai Soc. Math. Stud., 4, János
Bolyai Math. Soc., Elsevier, Amsterdam-Budapest, 1995.
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Uniqueness of dualities, in: A. Facchini and C. Menini ed., Abelian Groups
and Modules, Proc. of the Padova Conference, Padova, Italy, June 23-July
1, 1994, Mathematics and its Applications, vol. 343, Kluwer Academic Publishers,
Dordrecht-Boston-London, The Netherlands, 1995, pp. 123-133.
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The impact of closure operators on the structure of a concrete category,
Quaestiones Mathematicae 18 (1995) 381-396 (jointly with J. Pelant).
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On a characterization of linear compactness, Rivista di Matematica Pura
ed Applicata 17 (1995) 95-106 (jointly with A. Tonolo).
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On the structure of linearly compact rings and their dualities, Abelian
Groups and Modules, Proc. Udine Conf., Udine (Italy) April 1984, Springer
Verlag, New York-Wien, 415-439 (jointly with A. Orsatti).
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Uniformly approachable functions, in: G.Choquet, G.Godefroy, M. Rogalski,
J. Saint Raymond, Eds. Publications Mathematiques de l'Univ. Pierre et
Marie Curie, Seminaire d'Initiation a l'Analyse, 33éme Année
(1993/1994) pp. 7-01--7-09 (jointly with A. Berarducci).
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Uniformly approachable maps, Topology Proc., 20 (1995) 75-89 (jointly with
K. Ciesielski).
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Complementation in the lattice of Equivalence Relations, Discr. Math. 159
(1996) 83-94 (jointly with Alberto Policriti).
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Categories with sufficiently many absolutely closed objects, Cahiers Topologie
Géometrique Differencielle Catégoriques, Vol. XXXVIII-4 (1997)
277-300 (jointly with Jan Pelant).
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Chains of pseudocompact group topologies, Journal of Pure and Appl. Algebra
124 (1998) 65-100.
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Categorically compact topological groups, Journal of Pure and Appl. Algebra
126 (1998) 149-168 (jointly with V. Uspenskij).
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Cardinal invariants and independence results in the lattice of precompact
group topologies, Journal of Pure and Appl. Algebra 126 (1998) 19-49 (jointly
with A. Berarducci e M. Forti e S. Watson).
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Compactness and connectedness in topological groups, Topology Appl. 84
(1998) 227-252;
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Recent advances in minimal topological groups, Topology Appl. 85 (1998)
53--91.
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Quotients of zero-dimensional precompact abelian groups, Topology Appl.
86, n.1 (1998) 47--62.
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Classes of functions characterized by images of the sets, Colloq. Mathematicum,
Vol. 77 (1998) 211--232 (jointly with K. Ciesielski e S. Watson),
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Generators of topological groups, Kazuhiro Kawamura, ed., RIMS Kokyuroku
(Proceedings), vol. 1074 (1999), Symposium on General and Geometric Topology,
Kyoto, March 4-6, 1998, pp. 102--125.
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On a generalization of perfect maps, in: G. Di Maio and L. Holá
Editors, Recent progress in function spaces, Quaderni di Matematica, vol.
3, Dipartimento di Matematica, Seconda Univeritá di Napoli, 1998,
pp. 35-54.
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Minimality with respect to a bireflector: T-minimal and \nu-coarse
groups, Proceedings Symposium on Categorical Topology SoCaT 94 (Festschrift:
On the occasion of the 60th birthday of Guillaume Brümmer) Published
by: Department of Mathematics and Applied Mathematics, University of Cape
Town -- April 1999, pp. 75--87 (jointly with R. Fri\v c).
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On the minimality of the powers of the minimal \omega-bounded abelian groups,
Proc. Amer. Math. Soc. 127 (1999) 3101--3110 (jointly with A. Tonolo).
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Countably compact groups satisfying the open mapping theorem, Topology
Appl. 98 (1999) 81-129.
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Some topological groups with and some without suitable sets, (joint paper
with M. Tkachenko and V. Tkachuk), in Topology Appl., 98 (1999) 131--148.
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On the poset of totally dense subgroups of compact groups, Topology Proc.
24 (1999), 103--128 (jointly with W. Comfort).
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Sequential completeness of quotient groups, Bull. Austral. Math. Soc. 61
(2000), 129--151 (joint paper with M. Tkachenko);
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Topological groups with thin generating sets, Jour. Pure Appl. Algebra 145, n. 2 (2000) 123--148 (jointly with M. Tkachenko and V. Tkachuk);
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Suitable sets in some topological groups, Journal of Group Theory, 3 (2000) 293-321 (jointly with J. Trigos).
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Essential subgroups of topological groups, Comm. Algebra, 28(10) (2000) 4941-4970 (jointly with E. Boschi).
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Epimorphisms and cowellpoweredness in quasi uniform spaces, in: Guillaume Brümmer and Christopher Gilmour, eds., Papers in Honour of Bernhard
Banaschewski, "Proceedings of the BB Fest 96, a conference held at the University of Cape Town", 15-20 July 1996, on Category Theory and its Applications
to Topology, Order and Algebra, Applied Categotrical Structures, 8, n 1-2 (2000) pp. 33 (jointly with H.-P. Künzi).
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The lattice of group topologies and compact representations, in "Nuclear groups and Lie groups. Current result and problems", Proceedings of the
Workshop on topological groups and Lie groups, Madrid (Spain), September 20-25, 1999, Research & Exposition in Mathematics, vol. 24 (2001) pp.
105--126 , Heldermann Verlag Berlin.
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Absorbtion adjunctable groups, in: "Nuclear groups and Lie groups. Current result and problems", Proceedings of the Workshop on topological groups
and Lie groups, Madrid (Spain), September 20-25, 1999, Research & Exposition
in Mathematics, vol. 24 (2001) pp. 77--103, Heldermann Verlag Berlin, (jointly with Eusebio Corbacho and Vaja Tarieladze).
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Locally compact abelian groups admitting totally suitable sets, Journal
of Group Theory, 4 (2001) 59-73 (jointly with E. Boschi).
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Sequentially complete groups: dimension and minimality, Jour. Pure Appl.
Algebra 157 (2001), 215-239 (jointly with M. Tkachenko).
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Weak completeness of free topological groups, Topology Appl. 112, n. 3
(2001) 259-287 (jointly with M. Tkachenko).
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Between continuous and uniformly continuous functions on R^n, Topology
Applications 114, n. 3 (2001) 311-325 (jointly with K. Ciesielski).
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Characterization of the tori by density of the set of solutions of linear
equations, in: Abelian Groups, Rings and Modules: AGRAM 2000 Conference,
July 9-15, 2000 Perth, Western Auatrslia, Contemporary Mathematics (Amer.
Math. Soc.) vol. 273 (2001) 107-116 (jointly with M. Tkachenko).
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Solution to van Douwen's problem on Bohr topologies, Jour. Pure Appl. Algebra,
163, n. 2 (2001), 147-158 (jointly with S. Watson).
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Continuous maps in the Bohr Topology, Applied General Topology 2, n. 2
(2001), 237-270.
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Varieties generated by countably compact Abelian groups, Proc. Amer. Math.
Soc., 130 (2002), 2487-2496 (jointly with M. Tkachenko).
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Functions with distant fibers and uniform continuity, Topology Appl., 121,
n. 1-2 (2002) 3-23 (jointly with A. Berarducci e J. Pelant).
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Uniform quasi components, thin spaces and compact separation, Topology
Applications 122 (2002), 51-64 (jointly with A. Berarducci e J. Pelant).
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Essential density and total density in topological groups, J. Group Theory,
5 n. 3 (2002) 325-350 (jointly with W. Comfort).
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Functorial topologies on abelian groups, Proceedings of SUNLAG 2000, a spring stage on Algebra, Logic and Geometry, March 2000, Seconda Univeritá
di Napoli, 2002, pp. 81-95.
- Topological groups and their generators, in: M. Curzio and F. De Giovanni Editors, Topics in Infinite Groups, Quaderni di Matematica, vol. 4, Dipartimento di Matematica, Seconda Univeritá di Napoli, 2001, pp. 101-173, (jointly with C. Milan).
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Dualities of locally compact modules over the rationals, J. Algebra, 256 (2002) pp. 433-466 (jointly with C. Milan).
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A class of abelian groups defined by continuous cross sections in the Bohr topology, Rocky Mountain J. Math. 32 (2002), no. 4, 1331--1355.
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Subgroups of products of locally compact groups, Topology Proc. 26 (2001-2002) 533--544 (jointly with S. Morris).
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Topologically torsion elements of topological groups, Topology Proc. 26 (2001-2002) 505--532.
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Answer to Raczkowski's quest on convergent sequences of integers, Topology Appl. 132 (2003), no. 1, 89--101 (jointly with G. Barbieri, C. Milan and
H. Weber).
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Algebraic structure of small countably abelian compact groups, Forum Math., 15 (2003), 811-837 (jointly with M. Tkachenko).
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Groups with a small set of generators, Applied General Topology, 4, n. 2 (2003), 327-350 (jointly with U. Marconi and R. Moresco).
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Answer to Armacost's quest on topologically torsion elements of the circle group, Comm. Algebra 32 (2004) 133-146(jointly with R. Di Santo).
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Topological groups, in: Encylopedia of General Topology, Elsevier.
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On a property of the adele ring of the rationals, Rings, Modules, Algebras
and Abelian Groups, Proceedings of the Algebra Conference -- Venezia, ``Lecture
Notes in Pure and Applied Mathematics", vol. 236, Marcel Dekker 2004, pp.
133-137 (jointly with Umberto Zannier).
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An additivity theorem for uniformly continuous functions,
Topology Appl. 146/147 (2005), 339--352 (jointly with A. Berarducci e J. Pelant).
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Forcing hereditarily separable countably compact group topologies on Abelian
groups, Topology Appl. 151 (2005), no. 1-3, 2--54 (jointly with Dmitri Shakhmatov).
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A characterization of the MAP abelian groups, J. Pure Appl. Algebra,
197 (2005), no. 1-3, 23--41(jointly with C. Milan and A. Tonolo).
- Convergent sequences in precompact group topologies. Appl. Gen. Topol. 6 (2005), no. 2, 149--169 (jointly with G. Barbieri, C. Milan and H. Weber).
- On transversal group topologies, Topology Appl., 153 (2005), no. 5-6, 786--817. (jointly with M. Tkachenko and V. Yaschenko).
- Weakly metrizable pseudocompact groups, Appl. Gen. Topol. 6, no. 2, (2006), 1-31 (jointly with A. Giordano Bruno and C. Milan)
- Closure operators in topological groups related to von Neumann's kernel,Topology Appl., 153 (2006), no. 11, 1930--1955.
- t-dense subgroups of topological Abelian groups, Q & A General Topology, vol. 24, n. 2 (2006) 99-118 (jointly with G. Barbieri, C. Milan and H. Weber).
- Transversal group topologies of non-abelian groups, Topology Appl. 153 (2006) 3338--3354 (jointly with M. Tkachenko and V. Yaschenko).
- Every infinite group can be generated by a P-small subset, Appl. Gen. Topol., Volume 7, No. 2 (2006) 265-268 (jointly with I. Protasov).
- Local connectedness and extension of uniformly continuous functions, Topology Appl. 153 (2006) 3355--3371 (jointly with A. Berarducci e Jan Pelant)
- Torsion theories and radicals in normal categories, J. Algebra 305 (2006), no. 1, 98--129 (jointly with M. M. Clementino e W. Tholen)
- Charactrizing subgroups of the compact abelian groups, J. Pure Appl. Algebra, 208 (2007) 285--291 (jointly with K. Kunen)
- CLP-compactness for topological spaces and groups, Topology Appl. 154 (2007)1321--1340
- Selected topics from the structure theory of topological groups, in E.Perl, ed., Open Problems in Topology 2, Elsevier 2007, pp. 389-406 (in collab. con D. Shakhmatov)
- Weight of closed subsets algebraically generating a dense subgroup of a compact group, Math. Nachrichten 280, Issue 5-6 (2007) 505 - 522 (jointly with D. Shakhmatov).
- On Conway's question, Appl. Cat. Structures, vol. 15, no. 5-6 (2007) 511-539 (jointly with E. Peinador e Vaja Tarieladze)
- w-Divisible groups, Topology Appl. 155, Issue: 4 (2008) 252-272 (jointly with A. Giordano Bruno)
- Pseudocompact totally dense subgroups. Proc. Am. Math. Soc., vol. 136, no. 3 (2008) 1093-1103 (jointly with A. Giordano Bruno)
- Topological torsion related to some recursive sequences of integer, Math. Nachrichten 281, Issue 7 (2008) 930-950 (jointly with G. Barbieri, C. Milan and H. Weber)
- Reflection principle characterizing groups in which unconditionally closed sets are algebraic, J. Group Theory 11 (2008), 421-442 (jointly with D. Shakhmatov).
- Straightening theorem for bounded abelian groups, Topology Appl. 155, Issues 17-18 (2008) 2158-2176 (jointly with L. De Leo).
- Counting maximal topologies on countable groups and rings, Topology Appl. (2008) 156 (2008) 322--325 (jointly with I. Protasov)
- Algebraic entropy of endomorphisms of abelian groups, Trans. Amer. Math. Soc.361 (2009), 3401-3434 (jointly with B. Goldsmith, L. Salce e P. Zannardo)
- A characterization of circle group via uniqueness of roots, Topology Appl. 158 (2011) 159--166, doi:10.1016/j.topol.2010.08.014 (jointly with Di Santo).
- Products of straight spaces, Topology Appl. 156, Issue: 7 April 1, (2009) 1422--1437 (jointly with A. Berarducci e Jan Pelant).
- Relatively minimal subgroups of topological groups, Topology Appl. 157, Issue 1, (2010) 62-76 (jointly with M. Megrelishvili).
- Arnautov's problems on semitopological isomorphisms, Applied General Topology Vol. 10, Number 1 (2009) 85-119 (jointly with A. Giordano Bruno)
- Minimal pseudocompact group topologies on free abelian groups, Topology Appl. 156, 12, (2009), 2039-2053 (jointly with A. Giordano Bruno and D. Shakhmatov).
- Countably infinite quasi-convex sets in some locally compact abelian groups, Topology Appl. Volume 157, Issue 8 (2010) 1347-1356 (jointly with L. de Leo)
- Algebraic entropy of shift endomorphisms on abelian groups, Quest. Math. 32 (2009) 529-550 (Maryam Akhavin, Fatemah Ayatollah Zadeh Shirazi, A. Giordano Bruno and Arezoo Hosseini)
- Hewitt-Marczewski-Pondiczery type theorem for abelian groups and Markov's potential density, Proc. Amer. Math. Soc. 138 (2010), 2979-2990 (jointly with D. Shakhmatov).
- Quasi convex convergent sequences in compact abelian groups, Topology Appl. Volume 157, Issue 8, (2010) 1357-1369 (jointly with G. Lukacs).
- Quasi-convex density and determining subgroups of compact abelian, J. Math. Anal. Appl. 363 (2010), no. 1, 42--48 (jointly with D. Shakhmatov).
- Locally compact abelian groups admitting non-trivial quasi-convex null sequences, Jour Pure Appl. Alg. 214 (2010) 885--897 (jointly with G. Lukàcs).
- Adjoint algebraic entropy, J. Algebra 324 (2010) 442-463 (jointly with A. Giordano Bruno, L. Salce).
- The Markov-Zariski topology of an abelian group, to appear in J. Algebra 324, Issue 6, (2010), 1125-1158, doi:10.1016/j.jalgebra.2010.04.025 (jointly with D. Shakhmatov)
- On zero-dimensionality and the connected component of locally pseudocompact groups, Proc. Amer. Math. Soc. 139, n. 3 (2011) 2995--3008 (jointly with G. Lukàcs).
- Locally minimal topological groups, J. Math. Anal. Appl. 2, JMAA 380 (2011) 552--570, doi:10.1016/j.jmaa.2010.04.026 (jointly with L. Aussenhofer, M.J. Chasco, X. Dominguez).
- Locally minimal topological groups, J. Math. Anal. Appl. Volume 370, Issue 2, 15 October 2010, Pages 431-452, doi:10.1016/j.jmaa.2011.03.056 (jointly with L. Aussenhofer, M.J. Chasco, X. Dominguez).
- Strings of group endomorphisms, Journal of Algebra and its Applications, Vol. 9, No. 6 (2010) 933--958 arXiv:1006.5205 (jointly with A. Giordano Bruno and Simone Virili).
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Dualities in topological groups, Scientiae Mathematica Japonicae, 72, n. 2 (2010) 197--235 (jointly with M.V. Ferrer and S. Hernàndez).
- Productivity of sequences with respect to a given weight function, Topology Appl, 158, Issue 3, 15 (2011) 298--324 arXiv:1006.5285 (jointly with D. Shakhmatov and J. Spevak).
- A Kronecker-Weyl theorem for subsets of abelian groups, Adv. Math. 226 (2011) 4776--4795 (jointly with D. Shakhmatov).
- Suitable sets in the arc component of a compact connected group, Math. Nachrichten 285, No. 4, (2012) 476 -- 485, doi 10.1002/mana.201010013 (jointly with D. Shakhmatov).
- An elementary approach to Haar integration and Pontryagin duality in locally compact abelian groups, 158, No. 15, (2011) 1942--961 (jointly with Luchezar Stoyanov).
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Entropy in a module category, Volume 21, Issue 1 (2013), Page 67-101, arXiv:1006.5122, doi 10.1007/s10485-011-9256-1 (jointly with A. Giordano Bruno).
- Topics in uniform continuity, Samoylenko, ed.: Proc. Kiev Conference 2010, (jointly with D. Repovs).
- The Pinsker subgroup of an algebraic flow, 216 (2012) 364--376, arXiv:1006.5120, doi 10.1016/j.jpaa.2011.06.018 (jointly with A. Giordano Bruno).
- Functorial topologies, Topology Appl, Volume 158, Issue 17(2011), Pages 2261-2442 (jointly with A. Giordano Bruno)
- The Markov-Zariski topology of a group, Ischia Group Theory 2010, Proc. of the Conference, World Scientific Publ. Singapore, 2012, pages 87-- 130 (jointly with D. Toller).
- New and old facts about entropy in uniform spaces and topological groups, Topology and its Applications 159 (2012) 1916--1942
doi:10.1016/j.topol.2011.05.046 (jointly with M. Sanchis and Simone Virili).
- A survey on reflexivity of abelian topological groups, Topology Appl. 159 (2012) 2290--2309 (jointly with M.J. Chasco and E. Martin-Peinador).
- On the quasi-component of minimal pseudocompact abelian groups, Topology Appl., 159 (2012) 2152--2157, arXiv:1007.4285, doi:10.1016/j.topol.2012.02.007
(jointly with G. Lukàcs).
- A class of metrizable locally quasi-convex groups which are not Mackey, Forum Math. 26 (2014), 723--757 (jointly with Elena Martin-Peinador and V. Tarieladze),
- The connection between topological and algebraic entropy}, Topology Appl., 159, Issue 13 (2012), 2980--2989, doi.org/10.1016/j.topol.2012.05.009
(jointly with A. Giordano Bruno).
- The Markov-Zariski topology of a some non-abelian group, Topology Appl. 159 (2012) 2951--2972, doi.org/10.1016/j.topol.2012.05.007 (jointly with D. Toller).
- Topological and algebraic entropy on groups, Arhangel'skii A. V., Moiz ud Din Khan; Kocinac L., ed., Proceedings Islamabad ICTA 2011,
Cambridge Scientific Publishers 133--214 (jointly with A. Giordano Bruno).
- Set-theoretical entropy: A tool to compute topological entropy, proceedings Islamabad ICTA 2011, Cambridge Scientific Publishers 2012, 11--32
(jointly with Fatemah Ayatollah Zadeh Shirazi).
- Topologically torsion elements of the circle group, Communication in Algebra 42 (2014) 600--614 (jointly with Daniele Impieri).
- Minimality conditions in topological groups, Recent progress in general topology. III, 229--327, Atlantis Press, Paris, (2014) (jointly with Michael Megrelishvili)
- Discrete dynamical systems in group theory, Note Mat. 33 (2013), no. 1, 1--48 (jointly with A. Giordano Bruno).
- Metrization criteria for compact groups in terms of their dense subgroups, Fundam. Math. 221 (2013) 161-- 187 (jointly with D. Shakhmatov)
Endomorphisms of abelian groups with small algebraic entropy, Jour. of Linear Algebra and Appl. 439 (2013) 1894--1904 (jointly with Ketao Gong and Paolo Zanardo).
- Compact-like abelian groups without non-trivial quasi-convex null sequences, Jour. Pure Appl. Algebra, 218 (2014) 135--147 (jointly with Gabor Lukàs).
- Limit free computation of entropy, Rendiconti Istit. Mat. Univ. Trieste 44 (2012), 1-16 (jointly with A. Giordano Bruno),
- Fully inert subgroups of the abelian groups, J. Group Theory 16, n. 6 (2013) 915--939 (jointly with A. Giordano Bruno, L. Salce, S. Virili).
- Intrinsic algebraic entropy, (jointly with A. Giordano Bruno, L. Salce, S. Virili)
- Scale function vs Topological entropy, Topology Appl. 160 (2013) 2314--2334 (jointly with F. Berlai, A. Giordano Bruno).
- The bridge theorem for totally disconnected locally compact abelian groups, Topology Appl. 169 (2014), 21--32 (jointly with A. Giordano Bruno).
- Characterized subgroup of the compact abelian groups, Topology Appl. 160 (2013) 2427--2442 (jointly with S. Gabriyelyan).
- Infinitude of Bowen's entropy for groups endomorphisms, in: J. Carlos Ferrando and M. Lopez Pellicer, eds, Proceeding from the first Meeting in Topology and Functional Analysis, in Elce, Spain (2013), Springer Verlag 2014, pp. 139--158 (jointly with D. Alcaraz and M. Sanchis).
- Characterizing sequences for precompact group topologies, J. Math. Anal. Appl. 412 (2014) 505--519 (jointly with S. Gabriyelyan and V. Tarieladze).
- Dense nucleus of compact abelian groups, Topology Proc. 44 (2014), 325--356 (jointly with W. Comfort).
- A class of metrizable locally quasi-convex groups which are not Mackey, Forum Math. 26 (2014), 723--757 (jointly with Elena Marin-Peinador and V. Tarieladze).
- Question on the Borel complexity of characterized subgroup of the compact abelian groups, Q & A General Topology 32 (2014) 127--144 (jointly with D. Impieri).
- Fully inert subgroups of free Abelian groups, Periodica Mathematica Hungarica 69 (2014), no. 1, 69--78 (jointly with L. Salce and P. Zanardo).
- A factorization theorem for topological abelian groups, Comm. Algebra 43 (2015), no. 1, 212--224 (jointly with A. Giordano Bruno).
- Generalizations of Hewitt, Rickert and Rajagopalan's theorems, Topology and its Applications 192 (2015) 84--97 (jointly with D. Impieri).
- Uniform entropy vs topological entropy, special issue if Topological Algebra and its Applications dedicated to entropy, 3 (2015), Art. 9. (jointly with Hans-Peter Kunzi).
- Entropy on abelian group, Adv. Math. 298 (2016), 612--653, (jointly with A. Giordano Bruno).
- On two categories of many-valued relations, in: Jose M. Alonso Humberto Bustince, Marek Reformat, editors, Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology IFSA-EUSFLAT-2015 , Atlantis Press, pp. 933--938 ISBN (on-line): 978-94-62520-77-6 (jointly with Alexander Sostak).
- Locally quasi-convex compatible topologies on a topological group, Axioms 2015, 4(4), 436-458; doi:10.3390/axioms4040436 (jointly with Lydia Aussenhofer and Elena Martin-Peinador).
- Characterized subgroups of topological abelian groups, Axioms 2015, 4(4), 459-491; doi: 10.3390/axioms4040459 (jointly with A. Giordano Bruno D. Impieri).
- Complete solution of Markov's problem on connected group topologies, Adv. Math. 286 (2016), 286--307 (jointly with D. Shakhmatov).
- On the Borel complexity of characterized subgroup of the compact abelian groups}, Topology Appl. 201 (2016), 372--387 (jointly with D. Impieri).
- Topological groups with many small subgroups, Topology Appl. 200 (2016), 101--132 (jointly with D. Shakhmatov).
- Infinite direct sums and direct products in topological groups and topological vector spaces, J. Math. Anal. Appl. 437 (2016), no. 2, 1257-1282 (jointly with D. Shakhmatov and J. Spevak).
- Varopoulos paradigm: Mackey property vs metrizability in topological groups, Revista Matemàtica Complutense, 30, Issue 1 ( 2017), n.1, 167--184 (jointly with L. Aussenhofer, D. de la Barrera Mayoral and E. Martin Peinador).
- Preservation and reflection of size properties of balleans, Topology Appl. 221(2017) 570--595 (jointly with N. Zava).
- The problem of Mackey topologies: a complete solution in the case of bounded groups, Topology and its Applications 221 (2017) 206--224 (jointly with L. Aussenhofer).
- Some categorical aspects of coarse spaces and balleans, Topology Appl. 225 (2017), 164--194 (jointly with N. Zava).
- Characterizations of Lie groups, Forum Math. 30(2) ( 2018) 295--320 (jointly with D. Shakhmatov).
- Inertial properties of groups, International Journal of Group Theory, vol. 7 (3) (2018) 17--62 (jointly with U. Dardano and S. Rinauro)
- Zariski topology and Markov topology on groups, Topology Appl. 241 (2018)115--144 (jointly with D. Toller)
- Characterized subgroup of the circle group, Ricerche di Matematica (2018) 67 (2018), no. 2, 625--655 (jointly with A Giordano Bruno and R. Di Santo)
- Cowellpoweredness of some categories of quasi-uniform spaces, Applied Cat. Structures 26 (2018), no. 6, 1159--1184. (jointly with H. P. Kunzi).
- Atomic topological groups, Advances in Group Theory and Applications 6 (2018), pp. 23--53
- Locally Compact Groups and Locally Minimal Group Topologies, Fundam. Math. 244 (2019), no. 2, 109--124 (jointly with W. He, W. Xi and Z. Xiao)
- Hereditarily minimal topological groups, Forum Math. 31 (2019), no. 3, 619--646 (jointly with Schlossberg, Toller, W. Xi)
- G_delta-dense nucleus of a compact group, Topology Appl. 259 (2019), 155--178 (jointly with W. Comfort).
- Quotients of locally minimal group, J. Math. Anal. Appl. 475, Issue 2, (2019 )1215--1241 (jointly with D.P. W. He, Z. Xiao, W. Xi).
- Dimension and entropy in compact topological group, J. Math. Anal. Appl. 476, Issue 2, 15 (2019) 337--366 (jointly with M. Sanchis).
- Hyperballeans of groups, Topology Appl. 263 (2019), 172--198 (jointly with I. Protasov and N. Zava).
- Densely (locally) minimal groups, Topology Appl. 266 (2019), 106--846 (jointly with W. Xi, Toller, M. Schlossberg).
- Balleans, hyperballeans and ideals, Appl. Gen. Topology 20, no. 2 (2019), 431-447 (jointly with I. Protasov, K. Protasova, N. Zava)
- Generalized Heisenberg groups, Q & A Gen. Topology, 37 (2019) 89--108 (jointly with Bonatto).
- Minimal abelian group of countable tightness are metrizable, Topology Appl. 272 (2020) (jointly with D. Shakhmatov).
- Uniformly fully inert subgroups, Topol. Algebra Appl. Proc. Udine Conference 2018, 8 (2020), no. 1, 5–27 (jointly with U. Dardano and L. Salce)
- Categories of coarse groups: quasi-homomorphisms and functorial coarse structures, Topology Appl. 273 (2020)
(jointly with N. Zava).
- S-characterized subgroup of the circle group, Fundamenta Math. 249 (2020)185--209 (jointly with P. Das, and K. Bose).
- Application of Algebraic Entropy to the proof of Milnor-Wolf theorem, Communication in Algebra 48, Issue 3 (2020) 1340--1355 (jointly with W. Xi, D. Freni and Toller).
- Algebraic entropy of amenable semigroup actions, J. Algebra 556 (2020), 467--546 (jointly with A. Giordano Bruno and A. Fornasiero),
- The impact of Pontryagin and Bohr functors on large-scale properties of LCA groups, Topology Appl. 275 (2020), 107025 (jointly with N. Zava)
- Locally quasi-convex compatible topologies on LCA groups, Math. Z. 296, (2020) 325--351 (jointly with Lydia Aussenhofer)
- Finiteness of topological entropy for locally compact abelian p-groups, Glasgow J.M. (jointly with A. Giordano Bruno and F. Russo),
DOI: https://doi.org/10.1017/S0017089520000038
- Topological entropy, upper capacity and fractal dimensions of finitely generated semigroup actions, Colloq. Math. 163 (2021) 131--151 (jointly with A. Bi\'s, A. Giordano Bruno and L. Stoyanov)
- Algebraic entropies of commuting endomorphisms of torsion abelian groups, Rend. Sem. Mat. dell'Univ. di Padova (2021) (jointly with A. Bis, A. Giordano Bruno and L. Stoyanov)
- Intrinsic entropy for generalized quasimetric semilattices, Journal of Algebra and its Applications (2021) (jointly with I. Castellano, D. Freni, A. Giordano Bruno, D. Toller)
Monographs
Topological Groups: Characters, Dualities and Minimal Group Topologies, Pure and Applied Mathematics, Vol. 130 , Marcel
Dekker Inc., New York-Basel, 1990, pp. x+287, ISBN: 0-8247-8047-7 (jointly with Iv. Prodanov e L. Stoyanov)
Categorical Structure of Closure Operators with Applications to Topology, Algebra and Discrete Mathematics, Mathematics and its Applications,
vol. 346, Kluwer Academic Publishers, Dordrecht-Boston-London 1995, pp. 358+xviii, ISBN: 0-7923-3772-7 (jointly with W. Tholen)
Algebraic structure of the pseudocompact groups, Memoirs Amer. Math. Soc., 133/633, April 1998, pp. viii+83 (jointly with D. Shakhmatov).
Entropy on normed semigroups (towards a unifying approach to entropy), Diss. Math. 542 (2019), 1--90 (jointly with A. Giordano Bruno)
Aritmetica e algebra, Napoli: Liguori Editore, cop. 2007. XVI, 399 str. ISBN 978-88-207-4098-6 (jointly with Maria Silvia Lucido)
Editor of Proceedings
Abelian Groups, Module Theory and Toplogical Algebra, Proceedings in Honour of Adalberto Orsatti's 60-th Birthday, Padova 19-21 June 1997,
``Lecture Notes in Pure and Applied Mathematics", vol. 201,
Marcel Dekker, New York 1998, xviii+444 pp. ISBN: 0-8247-1937-9 (jointly with L. Salce).
Bibliographic papers
The work of A. Orsatti in Topological Algebra, in: Abelian Groups, Module Theory and Toplogical Algebra, Proceedings in Honour of Adalberto
Orsatti's 60-th Birthday, Padova 19--21 June 1997, ``Lecture Notes in Pure and Applied Mathematics", vol. 201, Marcel Dekker 1998, pp. 19--30.
The work of Iv. Prodanov in Topological groups, Ann. l'Univ. de Sofia, Fac. de Math. et Méc, vol. 87 (2001) to appear.
Ken and the Bohr topology, Topology Appl., 158, Issue 18, (2011) 2465--2467, doi 10.1016/j.topol.2011.08.004
The Gentle Giant Tampering with Dense Subgroups of Topological Groups, Topology Appl. 259 (2019), 6--27.
Submitted papers
Addition Theorem for tileable amenable semigroups , (jointly with A. Fornasiero and A. Giordano Bruno, Salizzoni)
Receptive metric entropy vs receptive topological entropy: Variational principle, (jointly with A. Bis, A. Giordano Bruno and L. Stoyanov)
Mackey groups and Mackey topologies, (jointly with L. Aussenhofer).
Preprints
Bridge Theorem for amenable semigroup actions , (jointly with A. Giordano Bruno and S. Virili).
Algebraic entropy of generalized shits , (jointly with A. Fornasiero and A. Giordano Bruno).
Generalized quasi-metric semilattices, (jointly with A. Giordano Bruno, H.-P. Kunzi, D. Toller and N. Zava)
Work in progress
Totally disconnected minimal countably compact Abelian groups, (jointly with V. Uspenskij).
Small totally dense subgroups, (jointly with A. Giordano Bruno)
Finite posets and their closure operators pp. 18 (jointly with S. Watson).