Some properties of generalized local cohomology modules with respect to a pair of ideals

2013/03/29 by Nam, Tran Tuan, Tri, Nguyen Minh
#13D45 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1303.7293

Abstract

We introduce a notion of generalized local cohomology modules with respect to a pair of ideals (I,J) which is a generalization of the concept of local cohomology modules with respect to (I,J). We show that generalized local cohomology modules Hⁱ_I,J(M,N) can be computed by the Čech cohomology modules. We also study the artinianness of generalized local cohomology modules Hⁱ_I,J(M,N).

Related

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• Graded Version of Some Basic Theorems on Local Cohomology to a Pair of Ideals