关于S-初等子模

IF 0.5 Q3 MATHEMATICS

International Electronic Journal of Algebra Pub Date : 2020-09-20 DOI:10.24330/ieja.1058417

H. Ansari-Toroghy, S. S. Pourmortazavi

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引用次数: 3

摘要

设$R$是一个有单位元的交换环，$S$是$R$的乘闭子集，$M$是$R$-模。本文研究了$M$的主子模$S$的一些性质。在其他结果中，证明了这类模包含了主模族。$S$-prime)子模块。

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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On S-primary submodules

Let $R$ be a commutative ring with identity, $S$ a multiplicatively closed subset of $R$, and $M$ be an $R$-module. In this paper, we study and investigate some properties of $S$-primary submodules of $M$. Among the other results, it is shown that this class of modules contains the family of primary (resp. $S$-prime) submodules properly.

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 IEJA seeks previously unpublished papers that contain: Module theory Ring theory Group theory Algebras Comodules Corings Coalgebras Representation theory Number theory.