# 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)
• Accepted : 2011.12.06
• Published : 2012.06.25

#### 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].

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