RINGS CLOSE TO SEMIREGULAR

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Copy For Citation

AYDOĞDU P., LEE Y., ÖZCAN A. Ç.

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, vol.49, no.3, pp.605-622, 2012 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 49 Issue: 3
• Publication Date: 2012
• Doi Number: 10.4134/jkms.2012.49.3.605
• Journal Name: JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.605-622
• Hacettepe University Affiliated: Yes

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.