扩展近伪拟2吸收子模块(I)

Omer Abdullah, Haibat Karim Mohammadali
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引用次数: 0

摘要

二吸收子模的概念被认为是模理论领域的一个基本特征,并有许多推广。本文讨论了扩展近伪拟2-吸收子模块的概念及其与2-吸收子模块、拟2-吸收子模块、近2-吸收子模块、伪2-吸收子模块的关系,以及其他已研究过的概念。它们之间的关系已经被研究过,解释说,相反的情况是不正确的,在某些条件下,相反的情况是正确的。本文旨在研究这一概念,并给出了与之相关的最重要的命题、表征、注释、例子、引理和观察。最后,我们将介绍一个非常重要的概念,与前面介绍的其他概念相当。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Extend Nearly Pseudo Quasi-2-Absorbing submodules(I)
The concept of a 2-Absorbing submodule is considered as an essential feature in the field of module theory and has many generalizations. This articale discusses the concept of the Extend Nearly Pseudo Quasi-2-Absorbing submodules and their relationship to the 2-Absorbing submodule, Quasi-2-Absorbing submodule, Nearly-2-Absorbing submodule, Pseudo-2-Absorbing submodule, and the rest of the other concepts previously studied. The relationship between them has been studied, explaining that the opposite is not true and that under certain conditions the opposite becomes true. This article aims to study this concept and gives the most important propositions, characterizations, remarks, examples, lemmas, and observations related to it. In the end, we will present a very important equivalent of our concept with the rest of the concepts presented previously.
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