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Strongly stratifying ideals, Morita contexts and Hochschild homology.
- Source :
-
Journal of Algebra . Feb2024, Vol. 639, p120-149. 30p. - Publication Year :
- 2024
-
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]
- Subjects :
- *RELATION algebras
*ALGEBRA
*LOGICAL prediction
Subjects
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 639
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 173858065
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2023.09.044