关于一个子模块的-Semiannihilator 小子模块和-小子模块的一些性质

IF 1.3 4区 数学 Q1 MATHEMATICS Journal of Mathematics Pub Date : 2024-01-09 DOI:10.1155/2024/5547197
F. Farzalipour, S. Rajaee, P. Ghiasvand
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引用次数: 0

摘要

设 是一个具有非零标识的交换环， 是 , 的一个乘方闭子集，并且是一个单素 - 模块。在本文中，我们引入了-semiannihilator 小子模和-小子模的概念，它们是-小子模的广义。我们研究了它们的一些基本性质，并给出了这些子模块的一些特征，特别是对于（有限生成的忠实）乘法模块。
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Some Properties of -Semiannihilator Small Submodules and -Small Submodules with respect to a Submodule
Let be a commutative ring with nonzero identity, be a multiplicatively closed subset of , and be a unital -module. In this article, we introduce the concepts of -semiannihilator small submodules and --small submodules as generalizations of -small submodules. We investigate some basic properties of them and give some characterizations of such submodules, especially for (finitely generated faithful) multiplication modules.
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来源期刊
Journal of Mathematics
Journal of Mathematics Mathematics-General Mathematics
CiteScore
2.50
自引率
14.30%
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0
期刊介绍： Journal of Mathematics is a broad scope journal that publishes original research articles as well as review articles on all aspects of both pure and applied mathematics. As well as original research, Journal of Mathematics also publishes focused review articles that assess the state of the art, and identify upcoming challenges and promising solutions for the community.
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