|
|
|
|
A note on uniquely (nil) clean ring
|
|
|
|
|
|
|
|
نویسنده
|
Sahebi Shervin ,Jahandar Mina
|
|
منبع
|
journal of linear and topological algebra - 2012 - دوره : 1 - شماره : 2 - صفحه:65 -67
|
|
چکیده
|
A ring r is uniquely (nil) clean in case for any a 2 r there exists a uniquelyidempotent ein r such that a-e is invertible (nilpotent). let c =(a vw 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.
|
|
کلیدواژه
|
Full element ,uniquely clean ring ,nil clean ring
|
|
آدرس
|
Department of Mathematics, Islamic Azad University, Central Tehran Branch, PO. Code 14168-94351, Iran, ایران, Department of Mathematics, Islamic Azad University, Central Tehran Branch, PO. Code 14168-94351, Iran, ایران
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Authors
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|