On closed weak supplemented modules

被引：0

作者：

Zeng Q.-Y. ^{[1
,2
]}

Shi M.-H. ^{[3
]}

机构：

[1] Department of Mathematics, Zhejiang University

[2] Department of Mathematic, Shaoguan University

[3] Department of Mathematics, Zhejiang Education Institute

来源：

Journal of Zhejiang University: Science | 2006年 / 7卷 / 02期

关键词：

Closed submodules; Closed weak supplemented; Small submodule;

D O I：

10.1631/jzus.2006.A0210

中图分类号：

学科分类号：

摘要：

A module M is called closed weak supplemented if for any closed submodule N of M, there is a submodule K of M such that M = K + N and K∩N≪M. Any direct summand of closed weak supplemented module is also closed weak supplemented. Any nonsingular image of closed weak supplemented module is closed weak supplemented. Nonsingular V-rings in which all nonsingular modules are closed weak supplemented are characterized in Section 4.

引用

页码：210 / 215

页数：5

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