The aim of this work is to give an alternative presentation for the multiplicative fragment of cyclic linear logic of Yetter. The new presentation uses, as formalism, the calculus of structures, and has the interesting feature of avoiding the cycling rule. The main point in this work is to show how cyclicity can be substituted by deepness, ie the possibility of applying a proof rule in any point of a formula. We present a proof of cut elimination for the new calculus.