On generalization of ⊕-cofinitely supplemented modules

被引：0
作者：
B. Nisanci
A. Pancar
机构：
[1] Ondokuz Mayıs University,
来源：
Ukrainian Mathematical Journal | 2010年 / 62卷
关键词：
Direct Summand; Valuation Ring; Endomorphism Ring; Radical Supplement; Jacobson Radical;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the properties of ⊕-cofinitely radical supplemented modules, or, briefly, cgs⊕-modules. It is shown that a module with summand sum property (SSP) is cgs⊕ if and only if M/w Loc⊕M (w Loc⊕M is the sum of all w-local direct summands of a module M) does not contain any maximal submodule, that every cofinite direct summand of a UC-extending cgs⊕-module is cgs⊕, and that, for any ring R, every free R-module is cgs⊕ if and only if R is semiperfect.
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页码：203 / 209
页数：6
相关论文
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