SOME RESULTS ON MP-INJECTIVITY AND MGP-INJECTIVITY OF RINGS AND MODULES

摘要

We study MP-injective rings and MGP-injective rings satisfying certain additional conditions. By using the concepts of MP-injectivity and MGP-injectivity of rings and modules, we present some new characterizations of QF-rings, semisimple Artinian rings, strongly regular rings, and simple Artinian rings.