A note on uniquely (nil) clean ring

Journal of Linear and Topological Algebra

مقاله 2، دوره 01، شماره 02، شهریور 2012، صفحه 67-69   

نویسندگان

Sh. Sahebi؛ M. Jahandar^*

Department of Mathematics, Islamic Azad University, Central Tehran Branch, PO. Code 14168-94351, Iran

چکیده

A ring R is uniquely (nil) clean in case for any $a \in R$ there exists a uniquely idempotent $e\in R$ 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.

کلیدواژه‌ها

Full element؛ uniquely clean ring؛ nil clean ring

مراجع

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