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Exchange rings, units and idempotents
Journal article   Peer reviewed

Exchange rings, units and idempotents

Victor P Camillo and Hua-Ping Yu
Communications in Algebra, Vol.22(12), pp.4737-4749
01/01/1994
DOI: 10.1080/00927879408825098

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Abstract

An associative ring R with identity is semiperfect if and only if every element of R is a sum of a unit and an idempotent, and R contains no infinite set of orthogonal idempotents. A ring which contains no infinite set of orthogonal idempotents is an exchange ring if and only if every element is a sum of a unit and an idempo-tent
Exchange Ring 16A Clean Ring Semiperfect Ring

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