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

IF 0.5 Q3 MATHEMATICS
International Electronic Journal of Algebra Pub Date : 2019-07-11 DOI:10.24330/IEJA.586962
S. Karimi, S. Payrovi
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引用次数: 3

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 $c={\rm cd}(I,J,M)$. In this paper, we first  introduce $T_R(I,J,M)$ as the largest submodule of $M$ with the property that ${\rm cd}(I,J,T_R(I,J,M))
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由一对理想定义的上局部上同模的湮灭子
设$R$是一个交换noether环，$I， $ J$是$R$的两个固有理想;设$M$是一个非零有限生成的$R$-模，其中$c={\rm cd}(I,J,M)$。本文首先引入$T_R(I,J,M)$作为$M$的最大子模块，具有${\rm cd}(I,J,T_R(I,J,M))
本文章由计算机程序翻译，如有差异，请以英文原文为准。
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来源期刊
International Electronic Journal of Algebra
International Electronic Journal of Algebra MATHEMATICS-
CiteScore
0.90
自引率
16.70%
发文量
36
审稿时长
36 weeks
期刊介绍： The International Electronic Journal of Algebra is published twice a year. IEJA is reviewed by Mathematical Reviews, MathSciNet, Zentralblatt MATH, Current Mathematical Publications. IEJA seeks previously unpublished papers that contain: Module theory Ring theory Group theory Algebras Comodules Corings Coalgebras Representation theory Number theory.
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