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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| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2021
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| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1068 |
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| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| _version_ | 1856543417563086848 |
|---|---|
| author | Rezaei, Sh. |
| author_facet | Rezaei, Sh. |
| author_sort | Rezaei, Sh. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2021-01-29T09:38:49Z |
| 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. |
| first_indexed | 2026-02-08T07:59:08Z |
| format | Article |
| id | admjournalluguniveduua-article-1068 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2026-02-08T07:59:08Z |
| publishDate | 2021 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-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 |
| spellingShingle | formal local cohomology local cohomology system of ideals 13D45 13C14. Rezaei, Sh. General formal local cohomology modules |
| title | 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_short | General formal local cohomology modules |
| title_sort | general formal local cohomology modules |
| topic | formal local cohomology local cohomology system of ideals 13D45 13C14. |
| topic_facet | formal local cohomology local cohomology system of ideals 13D45 13C14. |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1068 |
| work_keys_str_mv | AT rezaeish generalformallocalcohomologymodules |