GENERALIZED COFINITELY SEMIPERFECT MODULES

被引：0

作者：

Kosan, M. Tamer ^{[1
]}

机构：

[1] Gebze Inst Technol, Fac Sci, Dept Math, Cayirova Campus, TR-41400 Gebze, Turkey

来源：

INTERNATIONAL ELECTRONIC JOURNAL OF ALGEBRA | 2009年 / 5卷

关键词：

Cofinite submodule; generalized supplement submodule; generalized projective cover; semiperfect module;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper, we define generalized (amply) cofinitely supplemented modules, and generalized circle plus-cofinitely supplemented modules are defined as a generalization of (amply) cofinitely supplemented modules and circle plus-cofinitely supplemented modules, respectively, and show, among others, the following results: (1) The class of generalized cofinitely supplemented modules is closed under taking homomorphic images, generalized covers and arbitrary direct sums. (2) Any finite direct sum of generalized circle plus-cofinitely supplemented modules is a generalized circle plus-cofinitely supplemented module. (3) M is a generalized cofinitely semiperfect module if and only if M is a generalized cofinitely supplemented - module by supplements which have generalized projective covers.

引用

页码：58 / 69

页数：12

共 14 条

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