A certain Abelian category of weakly cofinite modules
Abstract
Let $R$ be a commutative Noetherian ring, $I$ an ideal of $R$ and $M$ an arbitrary $R$-module. We show that if the set $X=\cup_{i\geq 2}{\rm Supp}_R({\rm H}^{i}_{I}(R))$ is finite, then the category of all weakly cofinite modules with respect to the ideal $I$ of $R$ is an Abelian subcategory of the category of $R$-modules. In particular, it is true whenever ${\rm q}(I,R)\leq 1$.
Fields of Study & Subjects
Commutative Algebra and Its Applications
Rings
Modules
and Algebras
Algebraic structures and combinatorial models
Publication details
- Journal / source
- International Electronic Journal of Algebra
- Volume
- 40
- Issue
- 40
- Pages
- 63–70
- Publication date
- 15 February 2026
- Language
- EN