ALMOST PRINCIPALLY SMALL INJECTIVE RINGS Xiang, Yueming;
Let R be a ring and M a right R-module, S = (M). The module M is called almost principally small injective (or APS-injective for short) if, for any a J(R), there exists an S-submodule of M such that (a) = Ma as left S-modules. If is a APS-injective module, then we call R a right APS-injective ring. We develop, in this paper, APS-injective rings as a generalization of PS-injective rings and AP-injective rings. Many examples of APS-injective rings are listed. We also extend some results on PS-injective rings and AP-injective rings to APS-injective rings.
APS-injective modules (rings);trivial extensions;
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