Study of Morita contexts

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, semiperfec...

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Bibliographic Details
Published inCommunications in algebra Vol. 42; no. 4; pp. 1668 - 1681
Main Authors Tang, Gaohua, Li, Chunna, Zhou, Yiqiang
Format Journal Article
LanguageEnglish
Published Taylor & Francis Group 03.04.2014
Subjects
Algebra
Formal triangular matrix ring
Generalized matrix rings over a ring
Morita context
Primary 16S50
Trivial morita context
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Summary: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.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0092-7872
1532-4125
DOI:10.1080/00927872.2012.748327