Some applications of Cohen-Macaulay injective dimension

Authors : Xi TANG

Pages : 777-785

View : 15 | Download : 6

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