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  • Study of Morita contexts
    Tang, Gaohua; Li, Chunna; Zhou, Yiqiang

    Communications in algebra, 04/2014, Letnik: 42, Številka: 4
    Journal Article

    This article concerns mainly on various ring properties of Morita contexts. Necessary and sufficient conditions are obtained for a general Morita context or a trivial Morita context or a generalized matrix ring over a ring to satisfy a certain ring property which is among being semilocal, semiperfect, left perfect, semiprimary, semipotent, potent, clean, strongly π-regular, semiregular, etc. Many known results on a formal triangular matrix ring are extended to a Morita context or a trivial Morita context. Some questions on this subject raised by Varadarajan in 22 are answered.