| Texto completo | |
| Autor(es): |
Freitas, T. H.
;
Perez, V. H. Jorge
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | JOURNAL OF COMMUTATIVE ALGEBRA; v. 8, n. 3, p. 337-366, FAL 2016. |
| Citações Web of Science: | 2 |
| Resumo | |
We introduce a generalization of the formal local cohomology module, which we call a formal local cohomology module with respect to a pair of ideals, and study its various properties. We analyze their structure, upper and lower vanishing and non-vanishing properties. There are various exact sequences concerning formal cohomology modules, among them we have a Mayer-Vietoris sequence with respect to pair ideals. Also, we give another proof for a generalized version of the local duality theorems for Gorenstein, Cohen-Macaulay rings, and a generalization of the Grothendieck duality theorem for Gorenstein rings. We discuss the concept of formal grade with respect to a pair of ideals and give some results about this. (AU) | |
| Processo FAPESP: | 12/01084-0 - Ideais coeficientes para ideais arbitrários |
| Beneficiário: | Thiago Henrique de Freitas |
| Modalidade de apoio: | Bolsas no Brasil - Doutorado |
| Processo FAPESP: | 13/20723-7 - Propriedades de finitude e Artinianissidade do módulo cohomologia local formal, definida por um par de ideais |
| Beneficiário: | Thiago Henrique de Freitas |
| Modalidade de apoio: | Bolsas no Exterior - Estágio de Pesquisa - Doutorado |