CHARACTERIZATIONS OF REGULAR MODULES

被引：3

作者：

Kimuli, Philly Ivan ^{[1
]}

Ssevviiri, David ^{[2
]}

机构：

[1] Muni Univ, Fac Sci, Dept Math, POB 725, Arua, Uganda

[2] Makerere Univ, Coll Nat Sci, Dept Math, POB 7062, Kampala, Uganda

来源：

INTERNATIONAL ELECTRONIC JOURNAL OF ALGEBRA | 2023年 / 33卷

关键词：

Regular module; reduced module; (weakly-)morphic module; ENDOMORPHISM-RINGS;

D O I：

10.24330/ieja.1224782

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

. Different and distinct notions of regularity for modules exist in the literature. When these notions are restricted to commutative rings, they all coincide with the well-known von-Neumann regularity for rings. We give new characterizations of these distinct notions for modules in terms of both (weakly-)morphic modules and reduced modules. Furthermore, module theoretic settings are established where these in general distinct notions turn out to be indistinguishable.

引用

页码：54 / 76

页数：23

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