RINGS CLOSE TO SEMIREGULAR

A ring R is called semiregular if R/J is regular and idem-potents 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 satises one of the following conditions: (one-sided) unit-regular, strongly regular, (uni...

Full description

Saved in:
Bibliographic Details
Published inJournal of the Korean Mathematical Society Vol. 49; no. 3; pp. 605 - 622
Main Authors Aydogdu, Pinar, Lee, Yang, Ozcan, A. Cigdem
Format Journal Article
LanguageEnglish
Published 대한수학회 01.05.2012
Subjects
수학
Online AccessGet full text

Cover

More Information
Summary:A ring R is called semiregular if R/J is regular and idem-potents 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 satises one of the following conditions: (one-sided) unit-regular, strongly regular, (unit, strongly, weakly) π-regular. KCI Citation Count: 0
Bibliography:G704-000208.2012.49.3.005
ISSN:0304-9914
2234-3008
DOI:10.4134/JKMS.2012.49.3.605