ANNIHILATORS OF TOP LOCAL COHOMOLOGY MODULES DEFINED BY A PAIR OF IDEALS

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International Electronic Journal of Algebra
Volume:26 Issue:26
ANNIHILATORS OF TOP LOCAL COHOMOLOGY MODULES DEFINED BY A PAIR OF IDEALS

ANNIHILATORS OF TOP LOCAL COHOMOLOGY MODULES DEFINED BY A PAIR OF IDEALS

Authors : Susan KARİMİ, Shiroyeh PAYROVİ

Pages : 87-94

Doi:10.24330/ieja.586962

View : 41 | Download : 12

Publication Date : 2019-07-11

Article Type : Research Paper

Abstract :Let $R$ be a commutative Noetherian ring, $I, J$ two proper ideals of $R$ and let $M$ be a non-zero finitely generated $R$-module with $c={\rm cd}insert ignore into journalissuearticles values(I,J,M);$. In this paper, we first introduce $T_Rinsert ignore into journalissuearticles values(I,J,M);$ as the largest submodule of $M$ with the property that ${\rm cd}insert ignore into journalissuearticles values(I,J,T_Rinsert ignore into journalissuearticles values(I,J,M);); Keywords : Attached prime ideal, top local cohomology module

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