On Endomorphism Rings of Local Cohomology Modules
Commutative Algebra
2013-08-13 v1
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).
Keywords
Cite
@article{arxiv.1308.2584,
title = {On Endomorphism Rings of Local Cohomology Modules},
author = {Waqas Mahmood},
journal= {arXiv preprint arXiv:1308.2584},
year = {2013}
}
Comments
Accepted in International Journal of Algebra; International Journal of Algebra(2013)