- Hacettepe Journal of Mathematics and Statistics
- Volume:43 Issue:5
- Some applications of Cohen-Macaulay injective dimension
Some applications of Cohen-Macaulay injective dimension
Authors : Xi TANG
Pages : 777-785
View : 53 | Download : 15
Publication Date : 2014-10-01
Article Type : Research Paper
Abstract :Let a be an ideal of a commutative Noetherian ring R, M a finitely generated R-module with finite projective dimension and N an arbitrary R-module with finite Cohen-Macaulay injective dimension. In this paper, we show that the generalized local cohomology Hi ainsert ignore into journalissuearticles values(M, N); is zero for every i larger than the Cohen-Macaulay injective dimension of N. As applications, we obtain new characterizations of Gorenstein and regular local rings.Keywords : Cohen Macaulay injective dimension, dualizing module, generalized local cohomology, semidualizing module
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