r的对偶概念-模块的子模块

IF 0.5 Q3 MATHEMATICS

International Electronic Journal of Algebra Pub Date : 2023-05-18 DOI:10.24330/ieja.1299269

Faranak Farshadifar

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引用次数: 0

摘要

设$R$是具有恒等式的交换环，设$M$是$R$-模。一个$M$的适当子模$N$被称为$r$子模，如果$am\inN$中的$（0:_Ma）=0$意味着r$中的$A\inN$M\inM$中的每个$A\in N$。本文的目的是引入并研究$r$的对偶概念——$M$的子模。

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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The dual notion of $r$-submodules of modules

Let $R$ be a commutative ring with identity and let $M$ be an $R$-module. A proper submodule $N$ of $M$ is said to be an $r$-submodule if $am\in N$ with $(0:_Ma)=0$ implies that $m \in N$ for each $a\in R$ and $m\in M$. The purpose of this paper is to introduce and investigate the dual notion of $r$-submodules of $M$.

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来源期刊

International Electronic Journal of Algebra MATHEMATICS-

CiteScore

0.90

自引率

16.70%

发文量

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 IEJA seeks previously unpublished papers that contain: Module theory Ring theory Group theory Algebras Comodules Corings Coalgebras Representation theory Number theory.