Research Article

Some applications of Cohen-Macaulay injective dimension

Volume: 43 Number: 5 October 1, 2014
  • Xi Tang *
EN

Some applications of Cohen-Macaulay injective dimension

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. 

Keywords

References

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Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Xi Tang * This is me
China

Publication Date

October 1, 2014

Submission Date

February 16, 2013

Acceptance Date

August 24, 2013

Published in Issue

Year 2014 Volume: 43 Number: 5

APA
Tang, X. (2014). Some applications of Cohen-Macaulay injective dimension. Hacettepe Journal of Mathematics and Statistics, 43(5), 777-785. https://izlik.org/JA43RA53ZY
AMA
1.Tang X. Some applications of Cohen-Macaulay injective dimension. Hacettepe Journal of Mathematics and Statistics. 2014;43(5):777-785. https://izlik.org/JA43RA53ZY
Chicago
Tang, Xi. 2014. “Some Applications of Cohen-Macaulay Injective Dimension”. Hacettepe Journal of Mathematics and Statistics 43 (5): 777-85. https://izlik.org/JA43RA53ZY.
EndNote
Tang X (October 1, 2014) Some applications of Cohen-Macaulay injective dimension. Hacettepe Journal of Mathematics and Statistics 43 5 777–785.
IEEE
[1]X. Tang, “Some applications of Cohen-Macaulay injective dimension”, Hacettepe Journal of Mathematics and Statistics, vol. 43, no. 5, pp. 777–785, Oct. 2014, [Online]. Available: https://izlik.org/JA43RA53ZY
ISNAD
Tang, Xi. “Some Applications of Cohen-Macaulay Injective Dimension”. Hacettepe Journal of Mathematics and Statistics 43/5 (October 1, 2014): 777-785. https://izlik.org/JA43RA53ZY.
JAMA
1.Tang X. Some applications of Cohen-Macaulay injective dimension. Hacettepe Journal of Mathematics and Statistics. 2014;43:777–785.
MLA
Tang, Xi. “Some Applications of Cohen-Macaulay Injective Dimension”. Hacettepe Journal of Mathematics and Statistics, vol. 43, no. 5, Oct. 2014, pp. 777-85, https://izlik.org/JA43RA53ZY.
Vancouver
1.Xi Tang. Some applications of Cohen-Macaulay injective dimension. Hacettepe Journal of Mathematics and Statistics [Internet]. 2014 Oct. 1;43(5):777-85. Available from: https://izlik.org/JA43RA53ZY