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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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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Summary: | 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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