Exchange rings,units and idempotents |
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| Authors: | Victor P. Camillo Hua-Ping Yu |
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| Affiliation: | Department of mathematics , The University of Iowa , IOWA CITY, IA, 52246 |
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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 |
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| Keywords: | Exchange Ring Clean Ring Semiperfect Ring. |
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