RINGS CLOSE TO SEMIREGULAR


AYDOĞDU P. , LEE Y., ÖZCAN A. Ç.

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, cilt.49, ss.605-622, 2012 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 49 Konu: 3
  • Basım Tarihi: 2012
  • Doi Numarası: 10.4134/jkms.2012.49.3.605
  • Dergi Adı: JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
  • Sayfa Sayıları: ss.605-622

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.