A study on pure closed submodules

Q2 Mathematics

Annali dell''Universita di Ferrara Pub Date : 2025-04-05 DOI:10.1007/s11565-025-00588-y

Alaa Abdul Azeez Abdul Ameer, Muna Abbas Ahmed

引用次数: 0

Abstract

Nada M. Al-Thani introduced pure closed submodules without adding any details about the behavior of this kind of submodule. The main goal of this paper is to study and develop pure closed submodules. We introduced several results that are analogous to those in the closed submodule. Besides that, we study pure closed submodules in multiplication modules. Also, the relationships of pure closed submodules with \(St\)-closed and \(W\)-closed submodules are investigated. Moreover, ACC on pure closed submodules is discussed.

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纯闭子模的研究

Nada M. Al-Thani引入了纯闭子模块，但没有添加任何关于这种子模块行为的细节。本文的主要目标是研究和开发纯闭子模块。我们介绍了几个与封闭子模块中的结果类似的结果。此外，我们还研究了乘法模中的纯闭子模。同时，研究了纯闭子模块与\(St\) -闭子模块和\(W\) -闭子模块的关系。此外，还讨论了纯闭子模上的ACC。

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

Annali dell''Universita di Ferrara Mathematics-Mathematics (all)

CiteScore

1.70

自引率

0.00%

发文量

期刊介绍： Annali dell''Università di Ferrara is a general mathematical journal publishing high quality papers in all aspects of pure and applied mathematics. After a quick preliminary examination, potentially acceptable contributions will be judged by appropriate international referees. Original research papers are preferred, but well-written surveys on important subjects are also welcome.