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On the Category of Weakly Laskerian Cofinite Modules

Kamal Bahmanpour

Abstract


Let $R$ denote a commutative Noetherian (not necessarily local) ring and $I$ be an ideal of $R$. The main purpose of this note is to show that the category $\mathscr{WL}(R, I)_{\it cof}$ of $I$-cofinite weakly Laskerian $R$-modules forms an Abelian subcategory of the category of all $R$-modules.

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DOI: http://dx.doi.org/10.7146/math.scand.a-18002

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ISSN 0025-5521 (print) ISSN 1903-1807 (online)

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