Some results on local cohomology modules

2005/12/03 by Амир Мафи, Mafi, Amir
Mathematics · #13D45 #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.math/0512075

openalex publication_date 2005/12/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let R be a commutative Noetherian ring, \fa an ideal of R, and let M be a finitely generated R-module. For a non-negative integer t, we prove that H_\fa^t(M) is \fa-cofinite whenever H_\fa^t(M) is Artinian and H_\faⁱ(M) is \fa-cofinite for all i

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