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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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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Abstract 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.
AbstractList 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 I-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.
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.
Author Zhou, Yiqiang
Li, Chunna
Tang, Gaohua
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  givenname: Chunna
  surname: Li
  fullname: Li, Chunna
  organization: Zhijiang College , Zhejiang University
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  givenname: Yiqiang
  surname: Zhou
  fullname: Zhou, Yiqiang
  organization: Department of Mathematics and Statistics , Memorial University of Newfoundland
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SubjectTerms Algebra
Formal triangular matrix ring
Generalized matrix rings over a ring
Morita context
Primary 16S50
Trivial morita context
Title Study of Morita contexts
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Volume 42
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