Some Results on APS-Injective Rings and Modules
Abstract
R is a right APS-injective ring and aR is a principal right ideal contained in J(R), such that aR is isomorphic to a direct summand of R, then aR = (0). We also show that if R is a right APS-injective ring, any principal right ideal contained in Jacobson radical is projective if and only if it is a direct a summand of the ring. Finally we study an example of a left APS- injective ring which is not right APS-injective.
Keywords: APS-injective rings and modules, semi primitive rings, baer rings
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