Cofiniteness and finiteness of associated prime ideals of generalized local cohomology modules

2024/09/08 by Alireza Vahidi, Vahidi, Alireza, A. Khaksari +3
Mathematics · #Commutative Algebra and Its Applications #Rings, Modules, and Algebras #Algebraic structures and combinatorial models

paper · pdf · doi:10.48550/arxiv.2409.05090

Abstract

Let n be a non-negative integer, R a commutative Noetherian ring, \mathfraka an ideal of R, M and N two finitely generated R-modules, and X an arbitrary R-module. In this paper, we study cofiniteness and finiteness of associated prime ideals of generalized local cohomology modules. In some cases, we show that Hⁱ_\mathfraka(M,X) is an (FD_

Related

• Cofiniteness of generalized local cohomology modules
• Associated primes and cofiniteness of local cohomology modules
• On the associated primes of generalized local cohomology modules
• Associated primes of formal local cohomology modules
• On the associated prime ideals of local cohomology modules defined by a pair of ideals