Rings all of whose torsion quasi-injective modules are injective
نویسندگان
چکیده
منابع مشابه
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: Glasgow Mathematical Journal
سال: 1984
ISSN: 0017-0895,1469-509X
DOI: 10.1017/s0017089500005644