General formal local cohomology modules
Let \((R,\mathfrak{m})\) be a local ring, \(\Phi\) a system of ideals of \(R\) and \(M\) a finitely generated \(R\)-module. In this paper, we define and study general formal local cohomology modules. We denote the \(i\)th general formal local cohomology module \(M\) with respect to \(\Phi\) by \(\ma...
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| Дата: | 2021 |
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| Формат: | Стаття |
| Мова: | English |
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Lugansk National Taras Shevchenko University
2021
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1068 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-10682021-01-29T09:38:49Z General formal local cohomology modules Rezaei, Sh. formal local cohomology, local cohomology, system of ideals 13D45, 13C14. Let \((R,\mathfrak{m})\) be a local ring, \(\Phi\) a system of ideals of \(R\) and \(M\) a finitely generated \(R\)-module. In this paper, we define and study general formal local cohomology modules. We denote the \(i\)th general formal local cohomology module \(M\) with respect to \(\Phi\) by \(\mathfrak{F}_{\Phi}^{i}(M)\) and we investigate some finiteness and Artinianness properties of general formal local cohomology modules. Lugansk National Taras Shevchenko University 2021-01-29 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1068 10.12958/adm1068 Algebra and Discrete Mathematics; Vol 30, No 2 (2020) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1068/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/1068/303 https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/1068/304 https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/1068/813 https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/1068/814 Copyright (c) 2021 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
|
| datestamp_date |
2021-01-29T09:38:49Z |
| collection |
OJS |
| language |
English |
| topic |
formal local cohomology local cohomology system of ideals 13D45 13C14. |
| spellingShingle |
formal local cohomology local cohomology system of ideals 13D45 13C14. Rezaei, Sh. General formal local cohomology modules |
| topic_facet |
formal local cohomology local cohomology system of ideals 13D45 13C14. |
| format |
Article |
| author |
Rezaei, Sh. |
| author_facet |
Rezaei, Sh. |
| author_sort |
Rezaei, Sh. |
| title |
General formal local cohomology modules |
| title_short |
General formal local cohomology modules |
| title_full |
General formal local cohomology modules |
| title_fullStr |
General formal local cohomology modules |
| title_full_unstemmed |
General formal local cohomology modules |
| title_sort |
general formal local cohomology modules |
| description |
Let \((R,\mathfrak{m})\) be a local ring, \(\Phi\) a system of ideals of \(R\) and \(M\) a finitely generated \(R\)-module. In this paper, we define and study general formal local cohomology modules. We denote the \(i\)th general formal local cohomology module \(M\) with respect to \(\Phi\) by \(\mathfrak{F}_{\Phi}^{i}(M)\) and we investigate some finiteness and Artinianness properties of general formal local cohomology modules. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2021 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1068 |
| work_keys_str_mv |
AT rezaeish generalformallocalcohomologymodules |
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2025-07-17T10:34:10Z |
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2025-07-17T10:34:10Z |
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