Rings having normality in terms of the Jacobson radical
Rings having normality in terms of the Jacobson radical
A ring R is defined to be J-normal if for any $$a, r\in R$$ and idempotent $$e\in R$$, $$ae = 0$$ implies $$Rera\subseteq J(R)$$, where J(R) is the Jacobson radical of R. The class of J-normal rings lies between the classes of weakly normal rings and left min-abel rings. It …