非交换分阶环上的分阶素子模的推广

Q4 Mathematics

Journal of Algebra and Related Topics Pub Date : 2020-06-01 DOI:10.22124/JART.2020.15402.1185

P. Ghiasvand, F. Farzalipour

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引用次数: 0

摘要

设$G$是一个具有身份$e$的群。设$R$是一个$G$分级环，$M$是一个$G$分级$R$-模。在本文中，我们引入了分2吸收子模的概念，作为非交换分环上的分素子模的推广。此外，我们还得到了这类分级子模的一些性质。

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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A Generalization of Graded Prime Submodules over Non-Commutative Graded Rings

Let $G$ be a group with identity $e$. Let $R$ be an associative $G$-graded ring and $M$ be a $G$-graded $R$-module. In this article, we intruduce the concept of graded 2-absorbing submodules as a generalization of graded prime submodules over non-commutative graded rings. Moreover, we get some properties of such graded submodules.

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来源期刊

Journal of Algebra and Related Topics Mathematics-Discrete Mathematics and Combinatorics

CiteScore

0.60

自引率

0.00%

发文量

审稿时长

16 weeks