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Cofiniteness with respect to Extension of Serre Subcategories at Small Dimensions

Reza Sazeedeh and Kenan Yildirim

Journal of Mathematics, 2023, vol. 2023, 1-9

Abstract: 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.

Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:3793598

DOI: 10.1155/2023/3793598

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