Mark L. Teply
Abstract
For certain rings with infinitely many nonisomorphic simple left modules, a method is given for constructing pseudo-injective modules which are not quasi-injective. This method is used to produce examples of such modules over a commutative ring.
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For certain rings with infinitely many nonisomorphic simple left modules, a method is given for constructing pseudo-injective modules which are not quasi-injective. This method is used to produce examples of such modules over a commutative ring.
Key concepts: Injective function, Injective module, Simple module, Mathematics, Divisible group, Horizontal line test, Simple (philosophy), Monomorphism