A note on uniquely (nil) clean ring
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Abstract:
A ring R is uniquely (nil) clean in case for any $a in R$ there exists a uniquely idempotent $ein R$ such that $a-e$ is invertible (nilpotent). Let $C =(A V W B)$ be the Morita Context ring. We determine conditions under which the rings $A,B$ are uniquely (nil) clean. Moreover we show that the center of a uniquely (nil) clean ring is uniquely (nil) clean.
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full textMy Resources
Journal title
volume 01 issue 02
pages 67- 69
publication date 2012-06-01
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