duplicial

English

Etymology

(This etymology is missing or incomplete. Please add to it, or discuss it at the Etymology scriptorium.) (related to duplex?)

Adjective

duplicial (not comparable)

1. (mathematics) Defined by two associative operations that have a coassociative coproduct.
   • 2016, Paul Slevin, “2-categories and cyclic homology”, in arXiv‎^[1]:

     Explicitly, our main aims are: 1) To study how the cyclic homology of associative algebras and of Hopf algebras in the original sense of Connes and Moscovici arises from a distributive law, and to clarify the role of different notions of bimonad in this generalisation. 2) To extend the procedure of twisting the cyclic homology of a unital associative algebra to any duplicial object defined by a distributive law. 3) To study the universality of Bohm and Stefan's approach to constructing duplicial objects, which we do in terms of a 2-categorical generalisation of Hochschild (co)homology. 4) To characterise those categories whose nerve admits a duplicial structure..

Anagrams

• pulicidal, picudilla