1. Strongly stratifying ideals, Morita contexts and Hochschild homology.
- Author
-
Cibils, Claude, Lanzilotta, Marcelo, Marcos, Eduardo N., and Solotar, Andrea
- Subjects
- *
RELATION algebras , *ALGEBRA , *LOGICAL prediction - Abstract
We consider stratifying ideals of finite dimensional algebras in relation with Morita contexts. A Morita context is an algebra built on a data consisting of two algebras, two bimodules and two morphisms. For a strongly stratifying Morita context - or equivalently for a strongly stratifying ideal - we show that Han's conjecture holds if and only if it holds for the diagonal subalgebra. The main tool is the Jacobi-Zariski long exact sequence. One of the main consequences is that Han's conjecture holds for an algebra admitting a strongly (co-)stratifying chain whose steps verify Han's conjecture. If Han's conjecture is true for local algebras and an algebra Λ admits a primitive strongly (co-)stratifying chain, then Han's conjecture holds for Λ. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF