MINIMAXNESS OF LOCAL COHOMOLOGY MODULES DEFINED BY A PAIR OF IDEALS

• Journal title : Honam Mathematical Journal
• Volume 34, Issue 2,  2012, pp.161-169
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2012.34.2.161
Title & Authors
MINIMAXNESS OF LOCAL COHOMOLOGY MODULES DEFINED BY A PAIR OF IDEALS
Abbasi, A.; Roshan Shekalgourabi, H.;

Abstract
Let R be a commutative Noetherian ring and I, J be ideals of R. We introduced the notion of (I; J)-cominimax R-modules. For an integer $\small{n}$ and an R-module M, let $\small{H^i_{I,J}(M)}$ be an (I; J)-cominimax R-module for all $\small{i}$<$\small{n}$. The J-minimaxness of some Ext modules of $\small{H^n_{I,J}(M)}$ is investigated. Among of the obtaining results, there is a generalization of the main result of [1].
Keywords
Local cohomology modules;J-minimax modules;(I, J)-cominimax modules;
Language
English
Cited by
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