A study on pure closed submodules

被引：0

作者：

Alaa Abdul Azeez Abdul Ameer ^{[1
]}

Muna Abbas Ahmed ^{[1
]}

机构：

[1] Department of Mathematics, College of Science for Women, University of Baghdad, Baghdad

来源：

ANNALI DELL'UNIVERSITA' DI FERRARA | 2025年 / 71卷 / 2期

关键词：

Closed submodule; Essential submodule; P-essential submodule; Pure closed submodule;

D O I：

10.1007/s11565-025-00588-y

中图分类号：

学科分类号：

摘要：

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. © The Author(s) under exclusive license to Università degli Studi di Ferrara 2025.

引用

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