General formal local cohomology modules
Let (R,m) be a local ring, Ф 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 Ф by ⁱФ(M) and we investigate some finiteness and Artinian...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2020 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2020
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/188568 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | General formal local cohomology modules / Sh. Rezaei // Algebra and Discrete Mathematics. — 2020. — Vol. 30, № 2. — С. 254–266. — Бібліогр.: 13 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862538565757435904 |
|---|---|
| author | Rezaei Sh. |
| author_facet | Rezaei Sh. |
| citation_txt | General formal local cohomology modules / Sh. Rezaei // Algebra and Discrete Mathematics. — 2020. — Vol. 30, № 2. — С. 254–266. — Бібліогр.: 13 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | Let (R,m) be a local ring, Ф 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 Ф by ⁱФ(M) and we investigate some finiteness and Artinianness properties of general formal local cohomology modules.
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| first_indexed | 2025-11-24T15:07:06Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-188568 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-24T15:07:06Z |
| publishDate | 2020 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Rezaei Sh. 2023-03-06T14:49:19Z 2023-03-06T14:49:19Z 2020 General formal local cohomology modules / Sh. Rezaei // Algebra and Discrete Mathematics. — 2020. — Vol. 30, № 2. — С. 254–266. — Бібліогр.: 13 назв. — англ. 1726-3255 DOI:10.12958/adm1068 2010 MSC: 13D45, 13C14 https://nasplib.isofts.kiev.ua/handle/123456789/188568 Let (R,m) be a local ring, Ф 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 Ф by ⁱФ(M) and we investigate some finiteness and Artinianness properties of general formal local cohomology modules. The author thanks the referee for his careful reading and useful suggestions on this paper. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics General formal local cohomology modules Article published earlier |
| spellingShingle | General formal local cohomology modules Rezaei Sh. |
| 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188568 |
| work_keys_str_mv | AT rezaeish generalformallocalcohomologymodules |