科研之友
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摘要
Let R be a ring and M a right R-module, S = End(R)(M). The module M is called almost principally small injective (or APS-injective for short) if, for any a is an element of J(R), there exists an S-submodule X(a) of M such that l(MrR)(a) = Ma circle plus X(a) as left S-modules. If R(R) is an 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.
- 出版日期2011-11
- 单位怀化学院
