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.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, No. 10, pp. 1426–1433, October, 2011.
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Zhu, Z. Some results on MP-injectivity and MGP-injectivity of rings and modules. Ukr Math J 63, 1623–1632 (2012). https://doi.org/10.1007/s11253-012-0602-8
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DOI: https://doi.org/10.1007/s11253-012-0602-8