2016Colloquium MathematicumOpen access

Melkersson condition on Serre subcategories

Reza Sazeedeh, Rasul Rasuli

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Abstract

Let $R$ be a commutative noetherian ring, let $\mathfrak a$ be an ideal of $R$, and let $\mathcal {S}$ be a subcategory of the category of $R$-modules. The condition $C_{\mathfrak a}$, defined for $R$-modules, was introduced by Aghapournahr and Melke

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Let $R$ be a commutative noetherian ring, let $\mathfrak a$ be an ideal of $R$, and let $\mathcal {S}$ be a subcategory of the category of $R$-modules. The condition $C_{\mathfrak a}$, defined for $R$-modules, was introduced by Aghapournahr and Melke

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Available abstract

Let $R$ be a commutative noetherian ring, let $\mathfrak a$ be an ideal of $R$, and let $\mathcal {S}$ be a subcategory of the category of $R$-modules. The condition $C_{\mathfrak a}$, defined for $R$-modules, was introduced by Aghapournahr and Melke

Key concepts: Subcategory, Noetherian ring, Mathematics, Local cohomology, Pure mathematics, Torsion (gastropod), Homomorphism, Noetherian

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