# cocyclic

## EnglishEdit

### EtymologyEdit

### AdjectiveEdit

**cocyclic** (*not comparable*)

- (mathematics) Synonym of
*concyclic***2016**, Mohammad Hassanzadeh, Masoud Khalkhali, Ilya Shapiro, “Monoidal Categories, 2-Traces, and Cyclic Cohomology”, in arXiv^{[1]}:- 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 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".

- 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 endowed with a symmetric 2-trace one can attach a cyclic (resp.