ALGEBRA
SEMINAR

“Some
CharacterIzatIons of RIngs Close to SemIregular”

by

A. Çiğdem Özcan

(Hacettepe University)

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.

Date : March 26, 2010 (Friday)

Time : 13.40-14.30

Place: Seminar Room SA-141