Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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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)
  • Received : 2011.10.26
  • Accepted : 2011.12.06
  • Published : 2012.06.25
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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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References

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