| Title:
|
Some results on top local cohomology modules with respect to a pair of ideals (English) |
| Author:
|
Jahandoust, Saeed |
| Author:
|
Naghipour, Reza |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
145 |
| Issue:
|
4 |
| Year:
|
2020 |
| Pages:
|
377-386 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $I$ and $J$ be ideals of a Noetherian local ring $(R,\mathfrak m)$ and let $M$ be a nonzero finitely generated $R$-module. We study the relation between the vanishing of $H_{I,J}^{\dim M}(M)$ and the comparison of certain ideal topologies. Also, we characterize when the integral closure of an ideal relative to the Noetherian $R$-module $M/JM$ is equal to its integral closure relative to the Artinian $R$-module $H_{I,J}^{\dim M}(M)$. (English) |
| Keyword:
|
Artinian module |
| Keyword:
|
integral closure |
| Keyword:
|
local cohomology |
| Keyword:
|
quasi-unmixed module |
| MSC:
|
13B22 |
| MSC:
|
13D45 |
| MSC:
|
13E05 |
| idZBL:
|
07286019 |
| idMR:
|
MR4221840 |
| DOI:
|
10.21136/MB.2019.0124-18 |
| . |
| Date available:
|
2020-11-18T09:56:15Z |
| Last updated:
|
2021-04-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148430 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
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