| Title:
|
Artinianness of formal local cohomology modules (English) |
| Author:
|
Rezaei, Shahram |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
60 |
| Issue:
|
2 |
| Year:
|
2019 |
| Pages:
|
177-185 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let ${\frak{a}}$ be an ideal of Noetherian local ring $(R,{\frak{m}})$ and $M$ a finitely generated $R$-module of dimension $d$. In this paper we investigate the Artinianness of formal local cohomology modules under certain conditions on the local cohomology modules with respect to ${\frak{m}}$. Also we prove that for an arbitrary local ring $(R,{\frak{m}})$ (not necessarily complete), we have ${\rm Att}_R(\mathfrak{F}_{\frak{a}}^d(M)) ={\rm Min} {\rm V}({\rm Ann}_R \mathfrak{F}_{\frak{a}}^d(M)).$ (English) |
| Keyword:
|
formal local cohomology |
| Keyword:
|
local cohomology |
| MSC:
|
13D45 |
| MSC:
|
13E99 |
| idZBL:
|
Zbl 07144886 |
| idMR:
|
MR3982465 |
| DOI:
|
10.14712/1213-7243.2019.006 |
| . |
| Date available:
|
2019-08-05T09:43:25Z |
| Last updated:
|
2021-07-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147819 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
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| . |
