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- W200067684 endingPage "108" @default.
- W200067684 startingPage "61" @default.
- W200067684 abstract "If M is a module such that every map f: S → M of a submodule S is induced by an endomorphism of M, then M is said to be quasinjective, or QI, for short. Every module which is injective modulo annihilator, and every semisimple module, is QI (see 19.2). The QI modules coincide with the class of fully invariant sub-modules of injective modules 19.3. A module which is finitely generated over endomorphism ring is said to be finendo. Any finendo QI module is injective modulo annihilator 19.14A. Over a right Artinian ring, any QI right module is finendo and conversely 19.16. Thus, every faithful quasinjective over a right Artinian ring is injective 19.15, a result which holds for finitely generated faithful modules over commutative rings 19.17.KeywordsPrime IdealLeft IdealPrime RingEndomorphism RingRegular RingThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves." @default.
- W200067684 created "2016-06-24" @default.
- W200067684 creator A5063975774 @default.
- W200067684 date "1976-01-01" @default.
- W200067684 modified "2023-09-27" @default.
- W200067684 title "Quasinjective Modules and Selfinjective Rings" @default.
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