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Researcher Name
MOHAMED-KHEIR AHMAD(1) AND SUMYYAH AL-HIJJAWI(2)
Name Of Journal
Jordan Journal of Mathematics and Statistics
Volume No.
Vol.7, No.2, 2014
Date Of Publication
2014.05
Abstract
ABSTRACT: In this paper, we find several necessary conditions for the idempotents of a ring R to be central (for example: if eU U e R = R for every idempotent e of R then the idempotents of R are central, where UR is the set of units in R).We present some several properties of a ring whose idempotents are central (for instance: If R CR I ⊆ then R reg R = .clS where reg R is the set of regular elements in R and R .clS is the set of strongly clean element in R).
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