RINGS CLOSE TO SEMIREGULAR

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Atıf İçin Kopyala

AYDOĞDU P., LEE Y., ÖZCAN A. Ç.

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, cilt.49, sa.3, ss.605-622, 2012 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 49 Sayı: 3
• Basım Tarihi: 2012
• Doi Numarası: 10.4134/jkms.2012.49.3.605
• Dergi Adı: JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.605-622
• Hacettepe Üniversitesi Adresli: Evet

Özet

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.