When δ-semiperfect rings are semiperfect

被引：16

作者：

Buyukasik, Engin ^{[1
]}

Lomp, Christian ^{[2
]}

机构：

[1] Izmir Inst Technol, Dept Math, TR-35430 Izmir, Turkey

[2] Univ Porto, Dept Matemat Pura, Fac Ciencias, P-4169007 Oporto, Portugal

来源：

TURKISH JOURNAL OF MATHEMATICS | 2010年 / 34卷 / 03期

关键词：

Semiperfect; delta-semiperfect; delta-supplemented; MODULES;

D O I：

10.3906/mat-0810-15

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Zhou defined delta-semiperfect rings as a proper generalization of semiperfect rings. The purpose of this paper is to discuss relative notions of supplemented modules and to show that the semiperfect rings are precisely the semilocal rings which are delta-supplemented. Module theoretic version of our results are obtained.

引用

页码：317 / 324

页数：8

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