Research Article
Year 2014,
Volume: 43 Issue: 5, 777 - 785, 01.10.2014
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
a(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.
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
a(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
References
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There are 1 citations in total.
Details
| Primary Language | English |
|---|---|
| Journal Section | Research Article |
| Authors | |
| Publication Date | October 1, 2014 |
| IZ | https://izlik.org/JA43RA53ZY |
| Published in Issue | Year 2014 Volume: 43 Issue: 5 |