STRONG P-CLEANNESS OF TRIVIAL MORITA CONTEXTS
Commun. Korean Math. Soc.
Published online March 8, 2019
mete burak calci, sait halicioglu, and abdullah harmanci
Ankara University, hacettepe university
Abstract : Let $R$ be a ring with identity and $P(R)$ denote the
prime radical of $R$. An element $r$ of a ring $R$ is called
strongly $P$-clean, if there exists an idempotent $e$ such that
$r-e=p \in P(R)$ with $ep=pe$. In this paper, we determine
necessary and sufficient conditions for an element of a trivial
Morita context to be strongly $P$-clean.
Keywords : Morita context, prime radical, strongly P-clean ring, strongly clean ring, triangular matrix ring.
MSC numbers : 13C99, 16D80, 16U80
Full-Text :

   

Copyright © Korean Mathematical Society. All Rights Reserved.
The Korea Science Technology Center (Rm. 411), 22, Teheran-ro 7-gil, Gangnam-gu, Seoul 06130, Korea
Tel: 82-2-565-0361  | Fax: 82-2-565-0364  | E-mail: paper@kms.or.kr   | Powered by INFOrang Co., Ltd