C4-Modules

被引：21

作者：

Ding, Nanqing ^{[1
]}

Ibrahim, Yasser ^{[2
]}

Yousif, Mohamed ^{[3
]}

Zhou, Yiqiang ^{[4
]}

机构：

[1] Nanjing Univ, Dept Math, Nanjing, Jiangsu, Peoples R China

[2] Cairo Univ, Dept Math, Fac Sci, Giza, Egypt

[3] Ohio State Univ, Dept Math, Lima, OH 45804 USA

[4] Mem Univ Newfoundland, Dept Math & Stat, St John, NF, Canada

来源：

COMMUNICATIONS IN ALGEBRA | 2017年 / 45卷 / 04期

基金：

加拿大自然科学与工程研究理事会;

关键词：

C2-modules and C3-modules; continuous and quasi-continuous modules; injective and quasi-injective modules; square-free modules; CONTINUOUS MODULES; EXCHANGE PROPERTY; INJECTIVE HULLS; RINGS;

D O I：

10.1080/00927872.2016.1222412

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An R-module M is called a C4-module if, whenever A(1) and A(2) are submodules of M with M = A(1) circle plus A(2) and f : A(1) -> A(2) is an R-homomorphism with ker f subset of(circle plus) A(1), we have Imf subset of(circle plus) A(2). This notion is a non-trivial generalization of both the C3-modules and the square-free modules. Furthermore, a C4-module is called pseudo-continuous if it is also a CS-module. In this paper, we give a thorough study of the C4- and the pseudo-continuous modules.

引用

页码：1727 / 1740

页数：14

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