Rings Close to Semiregular
Loading...
Date
Authors
Aydoğdu, Pınar
Lee, Yang
Ozcan, A. Cigdem
Journal Title
Journal ISSN
Volume Title
Publisher
Korean Mathematical Soc
Abstract
A ring R is called semiregular if R/J is regular and idempotents lift modulo J, where J denotes the Jacobson radical of R. We give some characterizations of rings R such that idempotents lift modulo J, and R/J satisfies one of the following conditions: (one-sided) unit-regular, strongly regular, (unit, strongly, weakly) pi-regular.