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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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Інститут прикладної математики і механіки НАН України
2020
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| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/188568 |
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irk-123456789-1885682023-03-07T01:26:57Z General formal local cohomology modules Rezaei Sh. 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. 2020 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/188568 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
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| language |
English |
| 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. |
| format |
Article |
| author |
Rezaei Sh. |
| spellingShingle |
Rezaei Sh. General formal local cohomology modules Algebra and Discrete Mathematics |
| 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 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2020 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/188568 |
| citation_txt |
General formal local cohomology modules / Sh. Rezaei // Algebra and Discrete Mathematics. — 2020. — Vol. 30, № 2. — С. 254–266. — Бібліогр.: 13 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT rezaeish generalformallocalcohomologymodules |
| first_indexed |
2023-10-18T23:08:39Z |
| last_indexed |
2023-10-18T23:08:39Z |
| _version_ |
1796157361892622336 |