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RINGS CLOSE TO SEMIREGULAR
2012
Journal of the Korean Mathematical Society
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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) unitregular, strongly regular, (unit, strongly, weakly) π-regular.
doi:10.4134/jkms.2012.49.3.605
fatcat:krlshca2nfb2jiyuseefayx5ou