| Texto completo | |
| Autor(es): |
Dokuchaev, Mikhailo
;
Jerez, Emmanuel
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Journal of Algebra; v. 652, p. 45-pg., 2024-05-08. |
| Resumo | |
Given a cocommutative Hopf algebra H over a commutative ring K and a symmetric partial action of H on a K -algebra A, we obtain a first quadrant Grothendieck spectral sequence converging to the Hochschild homology of the smash product A# H, involving the Hochschild homology of A and the partial homology of H. An analogous third quadrant cohomological spectral sequence is also obtained. The definition of the partial (co)homology of H under consideration is based on the category of the partial representations of H. A specific partial representation of H on a subalgebra B of the partial "Hopf" algebra H par is involved in the definition and we construct a projective resolution of B. (c) 2024 Elsevier Inc. All rights reserved. (AU) | |
| Processo FAPESP: | 20/16594-0 - Anéis não comutativos e aplicações |
| Beneficiário: | Francisco Cesar Polcino Milies |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |
| Processo FAPESP: | 22/12963-7 - (Co)homologia e ações parciais |
| Beneficiário: | Emmanuel Jerez Usuga |
| Modalidade de apoio: | Bolsas no Brasil - Doutorado |