Direct sum properties of quasi-injective modules

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Generalizations of principally quasi-injective modules and quasiprincipally injective modules

LetR be a ring andM a rightR-module with S= End(MR). The moduleM is called almost principally quasi-injective (or APQ-injective for short) if, for any m∈M, there exists an S-submodule Xm of M such that lMrR(m) = Sm ⊕ Xm. The module M is called almost quasiprincipally injective (or AQP-injective for short) if, for any s∈ S, there exists a left ideal Xs of S such that lS(ker(s)) = Ss ⊕ Xs. In thi...

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ژورنال

عنوان ژورنال: Bulletin of the American Mathematical Society

سال: 1976

ISSN: 0002-9904

DOI: 10.1090/s0002-9904-1976-13980-8