On Endomorphism Rings of Local Cohomology Modules

Abstract

Let I be an ideal of a Complete Cohen-Macaulay local ring R of dimension n. We wil show that the natural homomorphism Rto HomR(HcI(KR), HcI(KR)) is an isomorphism provided that I is a cohomologically compltete intersection ideal of grade c where KR (resp. HiI(.)) denote the canonical module (resp. i-th local cohomology with respect to the ideal I) of R. The same result is true for the Matlis dual of HcI(KR).

Accepted in International Journal of Algebra; International Journal of Algebra(2013)

Cited by in corpus (4)

• Cohomologically complete intersections with vanishing of Betti numbers
• On generalized completion homology modules
• Some Results about Endomorphism Rings for Local Cohomology Defined by a Pair of Ideals
• On natural homomorphisms of local cohomology modules