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2020•TURKISH JOURNAL OF MATHEMATICSOpen access

Some results on top generalized local cohomology modules with respect to a system of ideals

Nguyen Minh Tri

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Abstract

Let $R$ be a commutative Noetherian ring and $\Phi$ be a system of ideals of $R.$ In this paper, we study the annihilators and the set of attached prime ideals of top generalized local cohomology modules with respect to a system of ideals.

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What this paper is about

Let $R$ be a commutative Noetherian ring and $\Phi$ be a system of ideals of $R.$ In this paper, we study the annihilators and the set of attached prime ideals of top generalized local cohomology modules with respect to a system of ideals.

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Available abstract

Let $R$ be a commutative Noetherian ring and $\Phi$ be a system of ideals of $R.$ In this paper, we study the annihilators and the set of attached prime ideals of top generalized local cohomology modules with respect to a system of ideals.

Key concepts: Mathematics, Local cohomology, Associated prime, Commutative property, Pure mathematics, Noetherian ring, Prime (order theory), Noetherian

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