Cofiniteness of modules and local cohomology

2023/02/08 by Hajar Sabzeh, Sabzeh, Hajar, Reza Sazeedeh +1
Mathematics · #13D02 #13D45 #13E05 #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.2302.04205

openalex publication_date 2023/02/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let A be a commutative noetherian ring, let \mathfrak a be an ideal of A and let n be a non-negative integer. In this paper, we study S_n(\mathfraka), a certain class of A-modules and we find some sufficient conditions so that a module belongs to S_n(\mathfraka). Moreover, we study the cofiniteness of local cohomology modules when dim A/\frak a≥ 3.

Related

• Some results on local cohomology modules
• A characterization result of cofinite local cohomology modules
• Cofiniteness of local cohomology modules and subcategories of modules
• Cofiniteness of generalized local cohomology modules for ideals of small dimension
• Cofiniteness of generalized local cohomology modules