Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

HOME ALL ARTICLES View

Commun. Korean Math. Soc. 2019; 34(4): 1069-1078

Online first article August 27, 2019      Printed October 31, 2019

https://doi.org/10.4134/CKMS.c180361

Copyright © The Korean Mathematical Society.

Strong $P$-cleanness of trivial Morita contexts

Mete B. Calci, Sait Halicioglu, 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

Supported by: The first author thanks the Scientific and Technological Research Council of Turkey (TUBITAK) for the financial support.

Stats or Metrics

Share this article on :

Related articles in CKMS

more +