2002•Communications in AlgebraRequires access

ON THE FINITENESS PROPERTIES OF THE GENERALIZED LOCAL COHOMOLOGY MODULES

Javad Asadollahi, Kazem Khashyarmanesh, Sh. Salarian

Open publisher page 53 citations

Abstract

Let R be a commutative Noetherian local ring with maximal ideal and let M be a finitely generated R-module. The local cohomology modules are known to be Artinian, so is finitely generated for all i...

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Let R be a commutative Noetherian local ring with maximal ideal and let M be a finitely generated R-module. The local cohomology modules are known to be Artinian, so is finitely generated for all i...

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OpenAlex reports 53 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Let R be a commutative Noetherian local ring with maximal ideal and let M be a finitely generated R-module. The local cohomology modules are known to be Artinian, so is finitely generated for all i...

Key concepts: Local cohomology, Mathematics, Noetherian ring, Finitely-generated abelian group, Ideal (ethics), Local ring, Pure mathematics, Commutative property

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