Rings Whose Simple Singular Modules are PS-Injective

被引：0
|
作者：
Xiang, Yueming [1 ]
Ouyang, Lunqun [2 ]
机构：
[1] Huaihua Univ, Dept Math & Appl Math, Huaihua 418000, Peoples R China
[2] Hunan Univ Sci & Technol, Dept Math, Xiangtan 411201, Peoples R China
来源：
KYUNGPOOK MATHEMATICAL JOURNAL | 2014年 / 54卷 / 03期
关键词：
Ps-injective modules; semiprimitive rings; nonsingular rings;
D O I：
10.5666/KMJ.2014.54.3.471
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let R be a ring. A right R-module M is PS-injective if every R-homomorphism f : aR -> M for every principally small right ideal aR can be extended to R -> M. We investigate, in this paper, rings whose simple singular modules are PS-injective. New characterizations of semiprimitive rings and semisimple Artinian rings are given.
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页码：471 / 476
页数：6
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