IJPAM: Volume 99, No. 4 (2015)
WITH RESPECT TO A PAIR OF IDEALS
Department of Mathematics
Islamic Azad University
Yazd Branch, Yazd, IRAN
Abstract. Let be a pair of ideals of a commutative Noetherian local ring , and a finitely generated module. Let be a positive integer. We prove that if is minimax for all , then is -cofinite for all and is finitely generated; if and is minimax for all , then is minimax for all . We also prove that if for all , then is Artinian and -cofinite for all .
Received: October 22, 2014
AMS Subject Classification: 13D45, 13E05, 14B15
Key Words and Phrases: local cohomology modules, artinian modules, cofinite modules
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DOI: 10.12732/ijpam.v99i4.7 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 471 - 476