Cofiniteness with respect to Extension of Serre Subcategories at Small Dimensions
Let A denote a commutative Noetherian ring, a be an ideal of A, X be an arbitrary dense subcategory of A-modules, and N be the full subcategory of finite A-modules. In this paper, we study N⋆X-c-cofinite modules with respect to the extension subcategory N⋆X when dim A/c≤2. We also study c-cofinitene...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2023-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2023/3793598 |
| _version_ | 1797753001088122880 |
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| author | Reza Sazeedeh |
| author_facet | Reza Sazeedeh |
| author_sort | Reza Sazeedeh |
| collection | DOAJ |
| description | Let A denote a commutative Noetherian ring, a be an ideal of A, X be an arbitrary dense subcategory of A-modules, and N be the full subcategory of finite A-modules. In this paper, we study N⋆X-c-cofinite modules with respect to the extension subcategory N⋆X when dim A/c≤2. We also study c-cofiniteness with respect to a new dimension. |
| first_indexed | 2024-03-12T17:12:38Z |
| format | Article |
| id | doaj.art-b59f7cea7f244ae79def625085213078 |
| institution | Directory Open Access Journal |
| issn | 2314-4785 |
| language | English |
| last_indexed | 2024-03-12T17:12:38Z |
| publishDate | 2023-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj.art-b59f7cea7f244ae79def6250852130782023-08-06T00:00:02ZengHindawi LimitedJournal of Mathematics2314-47852023-01-01202310.1155/2023/3793598Cofiniteness with respect to Extension of Serre Subcategories at Small DimensionsReza Sazeedeh0Department of MathematicsLet A denote a commutative Noetherian ring, a be an ideal of A, X be an arbitrary dense subcategory of A-modules, and N be the full subcategory of finite A-modules. In this paper, we study N⋆X-c-cofinite modules with respect to the extension subcategory N⋆X when dim A/c≤2. We also study c-cofiniteness with respect to a new dimension.http://dx.doi.org/10.1155/2023/3793598 |
| spellingShingle | Reza Sazeedeh Cofiniteness with respect to Extension of Serre Subcategories at Small Dimensions Journal of Mathematics |
| title | Cofiniteness with respect to Extension of Serre Subcategories at Small Dimensions |
| title_full | Cofiniteness with respect to Extension of Serre Subcategories at Small Dimensions |
| title_fullStr | Cofiniteness with respect to Extension of Serre Subcategories at Small Dimensions |
| title_full_unstemmed | Cofiniteness with respect to Extension of Serre Subcategories at Small Dimensions |
| title_short | Cofiniteness with respect to Extension of Serre Subcategories at Small Dimensions |
| title_sort | cofiniteness with respect to extension of serre subcategories at small dimensions |
| url | http://dx.doi.org/10.1155/2023/3793598 |
| work_keys_str_mv | AT rezasazeedeh cofinitenesswithrespecttoextensionofserresubcategoriesatsmalldimensions |