Rings Close to Semiregular
Date
2012Author
Aydoğdu, Pınar
Lee, Yang
Ozcan, A. Cigdem
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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) unit-regular, strongly regular, (unit, strongly, weakly) pi-regular.