# cocyclic

## English

### Etymology

In this paper we show that to a unital associative algebra object (resp. co-unital co-associative co-algebra object) of any abelian monoidal category ${\displaystyle C}$  endowed with a symmetric 2-trace one can attach a cyclic (resp. cocyclic) module, and therefore speak of the (co)cyclic homology of the (co)algebra "with coefficients in the trace".