Clean elements in abelian rings |
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Authors: | Angelina Y. M. Chin |
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Affiliation: | (1) Institute of Mathematical Sciences, Faculty of Science, University of Malaya, 50603 Kuala Lumpur, Malaysia |
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Abstract: | Let R be a ring with identity. An element in R is said to be clean if it is the sum of a unit and an idempotent. R is said to be clean if all of its elements are clean. If every idempotent in R is central, then R is said to be abelian. In this paper we obtain some conditions equivalent to being clean in an abelian ring. |
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Keywords: | Clean topologically boolean abelian ring |
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