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MC2 RINGS AND WQD RINGS*

Published online by Cambridge University Press:  01 September 2009

JUNCHAO WEI  and
LIBIN LI
JUNCHAO WEI
Affiliation:
School of Mathematics, Yangzhou University, Yangzhou 225002, P. R. China E-mail: [email protected]
LIBIN LI
Affiliation:
School of Mathematics, Yangzhou University, Yangzhou 225002, P. R. China E-mail: [email protected]
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Abstract

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We introduce in this paper the concepts of rings characterized by minimal one-sided ideals and concern ourselves with rings containing an injective maximal left ideal. Some known results for idempotent reflexive rings and left HI rings can be extended to left MC2 rings. As applications, we are able to give some new characterizations of regular left self-injective rings with non-zero socle and extend some known results for strongly regular rings.

Keywords

16A3016A5016E5016D30
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 51 , Issue 3 , September 2009 , pp. 691 - 702
Copyright
Copyright © Glasgow Mathematical Journal Trust 2009

References

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