| Title:
|
Some bounds for the annihilators of local cohomology and Ext modules (English) |
| Author:
|
Fathi, Ali |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
72 |
| Issue:
|
1 |
| Year:
|
2022 |
| Pages:
|
265-284 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $\mathfrak a$ be an ideal of a commutative Noetherian ring $R$ and $t$ be a nonnegative integer. Let $M$ and $N$ be two finitely generated $R$-modules. In certain cases, we give some bounds under inclusion for the annihilators of ${\rm Ext}^t_R(M, N)$ and ${\rm H}^t_{\mathfrak a}(M)$ in terms of minimal primary decomposition of the zero submodule of $M$, which are independent of the choice of minimal primary decomposition. Then, by using those bounds, we compute the annihilators of local cohomology and Ext modules in certain cases. (English) |
| Keyword:
|
local cohomology module |
| Keyword:
|
Ext module |
| Keyword:
|
annihilator |
| Keyword:
|
primary decomposition |
| MSC:
|
13D07 |
| MSC:
|
13D45 |
| idZBL:
|
Zbl 07511566 |
| idMR:
|
MR4389119 |
| DOI:
|
10.21136/CMJ.2021.0456-20 |
| . |
| Date available:
|
2022-03-25T08:32:37Z |
| Last updated:
|
2024-04-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/149586 |
| . |
| Reference:
|
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