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http://dx.doi.org/10.5666/KMJ.2014.54.3.471

Rings Whose Simple Singular Modules are PS-Injective  

Xiang, Yueming (Department of Mathematics and Applied Mathematics, Huaihua University)
Ouyang, Lunqun (Department of Mathematics, Hunan University of Science and Technology)
Publication Information
Kyungpook Mathematical Journal / v.54, no.3, 2014 , pp. 471-476 More about this Journal
Abstract
Let R be a ring. A right R-module M is PS-injective if every R-homomorphism $f:aR{\rightarrow}M$ for every principally small right ideal aR can be extended to $R{\rightarrow}M$. We investigate, in this paper, rings whose simple singular modules are PS-injective. New characterizations of semiprimitive rings and semisimple Artinian rings are given.
Keywords
PS-injective modules; semiprimitive rings; nonsingular rings;
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Times Cited By KSCI : 1  (Citation Analysis)
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