| Full text | |
| Author(s): |
Freitas, T. H.
;
Perez, V. H. Jorge
Total Authors: 2
|
| Document type: | Journal article |
| Source: | JOURNAL OF COMMUTATIVE ALGEBRA; v. 8, n. 3, p. 337-366, FAL 2016. |
| Web of Science Citations: | 2 |
| Abstract | |
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) | |
| FAPESP's process: | 12/01084-0 - Coefficients ideals for arbitrary ideals |
| Grantee: | Thiago Henrique de Freitas |
| Support Opportunities: | Scholarships in Brazil - Doctorate |
| FAPESP's process: | 13/20723-7 - Finiteness properties and Artinianness of formal local cohomology modules dened by a PAIs of ideals |
| Grantee: | Thiago Henrique de Freitas |
| Support Opportunities: | Scholarships abroad - Research Internship - Doctorate |