2014•Kyungpook mathematical journalOpen access
Rings Whose Simple Singular Modules are PS-Injective
Yueming Xiang, Ouyang Lunqun
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Abstract
Let R be a ring.A right R-module M is P S-injective if every Rhomomorphism 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 P Sinjective.New characterizations of semiprimitive rings and semisimple Artinian rings are given.
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