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Pinar Aydogdu,이양,A. Cigdem Ozcan 대한수학회 2012 대한수학회지 Vol.49 No.3
A ring R is called semiregular if R/J is regular and idem-potents 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 satises one of the following conditions: (one-sided) unit-regular, strongly regular, (unit, strongly, weakly) π-regular.
Aydogdu, Pinar,Lee, Yang,Ozcan, A. Cigdem Korean Mathematical Society 2012 대한수학회지 Vol.49 No.3
A ring $R$ is called semiregular if $R/J$ is regular and idem-potents 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.