| Texto completo | |
| Autor(es): |
Cibils, Claude
;
Lanzilotta, Marcelo
;
Marcos, Eduardo N.
;
Solotar, Andrea
Número total de Autores: 4
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Journal of Algebra; v. 639, p. 30-pg., 2023-10-31. |
| Resumo | |
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 Lambda admits a primitive strongly (co-)stratifying chain, then Han's conjecture holds for Lambda.(c) 2023 Elsevier Inc. All rights reserved. (AU) | |
| Processo FAPESP: | 14/09310-5 - Estruturas algébricas e suas representações |
| Beneficiário: | Vyacheslav Futorny |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |