Rings Close to Semiregular
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.