Research ArticleFree Access

On the Abelian categories of cofinite modules

Department of Mathematics, Faculty of Sciences, University of Mohaghegh Ardabili, 56199-11367, Ardabil, Iran

https://doi.org/10.1142/S0219498824500051Cited by:2 (Source: Crossref)

Abstract

Let $R$ be a commutative Noetherian ring and $I$ be an ideal of $R$ such that the $R$ -modules $H_{I}^{i} (M)$ are $I$ -cofinite, for all finitely generated $R$ -modules $M$ and all $i \in ℕ_{0}$ . In this paper, we investigate a question of Hartshorne concerning the Abelianness of the category of all $I$ -cofinite modules.

Communicated by T. H. Ha

Keywords:

AMSC: 13D45, 13E05, 18E10

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