| Texto completo | |
| Autor(es): |
Mendoza-Rubio, Victor D.
;
Jorge-Perez, Victor H.
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | JOURNAL OF COMMUTATIVE ALGEBRA; v. 17, n. 2, p. 16-pg., 2025-06-01. |
| Resumo | |
Let R be a Noetherian local ring, and let C be a semidualizing R-module. In this paper, we present some results concerning the vanishing of Ext and finite injective dimension of Hom. Additionally, we extend these results in terms of finite C-injective dimension of Hom. We also investigate the consequences of some of these extensions in the case where R is Cohen-Macaulay and C is a canonical module for R. Furthermore, we provide positive answers to the Auslander-Reiten conjecture for finitely generated R-modules M such that L-C-id(R)(Hom(R)(M, R)) < infinity or M is an element of A(C) (R) with L-C-id(R)(Hom(R)(M, M)) < infinity. Moreover, we derive a number of criteria for a semidualizing R-module C to be a canonical module for R in terms of the vanishing of Ext and the finite C-injective dimension of Hom. (AU) | |
| Processo FAPESP: | 22/03372-5 - Sobre a conjectura de Auslander-Reiten |
| Beneficiário: | Victor Daniel Mendoza Rubio |
| Modalidade de apoio: | Bolsas no Brasil - Doutorado |
| Processo FAPESP: | 19/21181-0 - Novas fronteiras na Teoria de Singularidades |
| Beneficiário: | Regilene Delazari dos Santos Oliveira |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |