Some Remarks on the Dual Notion of n-Absorbing Primary Submodules

IF 0.5 3区数学 Q3 MATHEMATICS

Journal of Algebra and Its Applications Pub Date : 2023-10-20 DOI:10.1142/s0219498825500860

F. Ranjbar Hamghavandi, M. Ebrahimpour

引用次数: 0

Abstract

Let [Formula: see text] be a positive integer. In this paper, we introduce a functional method, which gives us an equivalent condition to the concept of [Formula: see text]-absorbing primary submodules. By using this method, the dual notion of [Formula: see text]-absorbing primary submodules, which we call [Formula: see text]-secondary submodules, is presented. Then, some properties of this class of submodules, several useful examples and functorial results are presented.

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关于n吸收主子模对偶概念的若干注释

设[公式:见文本]为正整数。本文引入了一种泛函方法，给出了[公式:见文]吸收主子模块概念的等价条件。利用这种方法，提出了[公式:见文]吸收主子模块的对偶概念，即[公式:见文]吸收主子模块的对偶概念，称为[公式:见文]吸收次子模块。然后给出了这类子模块的一些性质、一些有用的例子和函数结果。

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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来源期刊

Journal of Algebra and Its Applications 数学-数学

CiteScore

1.50

自引率

12.50%

发文量

226

审稿时长

4-8 weeks

期刊介绍： The Journal of Algebra and Its Applications will publish papers both on theoretical and on applied aspects of Algebra. There is special interest in papers that point out innovative links between areas of Algebra and fields of application. As the field of Algebra continues to experience tremendous growth and diversification, we intend to provide the mathematical community with a central source for information on both the theoretical and the applied aspects of the discipline. While the journal will be primarily devoted to the publication of original research, extraordinary expository articles that encourage communication between algebraists and experts on areas of application as well as those presenting the state of the art on a given algebraic sub-discipline will be considered.