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 𝕱ⁱФ(M) and we investigate some finiteness and Artinia...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2020 |
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| Format: | Artikel |
| Sprache: | English |
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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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| 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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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 𝕱ⁱФ(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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
General formal local cohomology modules |
| spellingShingle |
General formal local cohomology modules Rezaei Sh. |
| 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 |
| author |
Rezaei Sh. |
| author_facet |
Rezaei Sh. |
| publishDate |
2020 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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 𝕱ⁱФ(M) and we investigate some finiteness and Artinianness properties of general formal local cohomology modules.
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| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/188568 |
| fulltext |
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| citation_txt |
General formal local cohomology modules / Sh. Rezaei // Algebra and Discrete Mathematics. — 2020. — Vol. 30, № 2. — С. 254–266. — Бібліогр.: 13 назв. — англ. |
| work_keys_str_mv |
AT rezaeish generalformallocalcohomologymodules |
| first_indexed |
2025-11-24T15:07:06Z |
| last_indexed |
2025-11-24T15:07:06Z |
| _version_ |
1850847506535022592 |