Dual coalgebras of twisted tensor products

Autor:	Reyes, Manuel L.
Rok vydání:	2023
Předmět:	Mathematics - Rings and Algebras Mathematics - Category Theory Primary: 16S35 16T15 18M05 Secondary: 16S38 16S40 16S80
Druh dokumentu:	Working Paper
Popis:	We investigate cases where the finite dual coalgebra of a twisted tensor product of two algebras is a crossed product coalgebra of their respective finite duals. This is achieved by interpreting the finite dual as a topological dual; in order to prove this, we show that the continuous dual is a strong monoidal functor on linearly topologized vector spaces whose open subspaces have finite codimension. We describe a sufficient condition for the result on finite dual coalgebras to be applied, and we this condition to particular constructions including Ore extensions, smash product algebras, and crossed product bialgebras. Comment: 24 pages. This paper includes material that was removed from an earlier version of arXiv:2111.07081
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2306.17261 Zobrazit plný text záznamu View this record from Arxiv