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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Chin, A.Y.M. Clean elements in abelian rings. Proc Math Sci 119, 145–148 (2009). https://doi.org/10.1007/s12044-009-0014-3
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DOI: https://doi.org/10.1007/s12044-009-0014-3