Regular sequences and local cohomology modules with respect to a pair of ideals

2013/05/02 by Sh. Payrovi, Payrovi, Sh., M. Lotfi Parsa +1
Mathematics · #13C15 #13D07 #13D45 #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.1305.0429

openalex publication_date 2013/05/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let R be a Noetherian ring, I and J two ideals of R and t an integer. Let S be the class of Artinian R-modules, or the class of all R-modules N with dim_RN≤ k, where k is an integer. It is proved that inf\i: Hⁱ_I,J(M)∉ S\=inf\S-\depth_\fraka(M): \fraka∈ \rm W(I,J)\, where M is a finitely generated R-module, or is a ZD-module such that M/\frakaM∉ S for all \fraka∈ \rm W(I,J). Let \Supp_R Hⁱ_I,J(M) be a finite subset of \Max(R) for all i

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