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http://dx.doi.org/10.5831/HMJ.2012.34.2.161

MINIMAXNESS OF LOCAL COHOMOLOGY MODULES DEFINED BY A PAIR OF IDEALS

Abbasi, A. (Department of Pure Mathematics, University of Guilan)
Roshan Shekalgourabi, H. (Department of Pure Mathematics, University of Guilan)

Publication Information

Honam Mathematical Journal / v.34, no.2, 2012 , pp. 161-169 More about this Journal

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 $n$ and an R-module M, let $H^i_{I,J}(M)$ be an (I; J)-cominimax R-module for all $$i$ < $n$$ . The J-minimaxness of some Ext modules of $H^n_{I,J}(M)$ 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;

Citations & Related Records

Reference

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