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Communications in Algebra Volume 46, 2018 - Issue 3
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Original Articles

On right G-semilocal rings

M. H. FahmyMathematics Department, Faculty of Science, Al-Azhar University, Cairo, Egypt
,
A. M. HassaneinMathematics Department, Faculty of Science, Al-Azhar University, Cairo, Egypt
&
S. M. AbdelwahabMathematics Department, Faculty of Science, Helwan University, Cairo, EgyptCorrespondence[email protected]
Pages 1304-1313 | Received 02 Apr 2017, Published online: 03 Aug 2017
 
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ABSTRACT

The notion of semilocal ring is extended to the classes of right G-semilocal and right N-semilocal rings. We explore the algebraic properties of such classes and study their relations with many other rings such as clean, exchange and I-finite rings. Localization of right G-semilocal rings is considered.

2010 MATHEMATICS SUBJECT CLASSIFICATION:

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