Is there a name for the following property of a commutative ring $R$:


its Jacobson radical $J$ is nilpotent, and $R/J$ is semi-simple?


(It is easily equivalent to: $R$ is a finite product of commutative local rings with nilpotent radical.)



Terminology for commutative ring whose Jacobson radical $J$ is nilpotent with semisimple quotient $R/J$
The word for a ring $R$ whose Jacobson radical $J$ is nilpotent and such that $R/J$ is semisimple is **semiprimary**. I don’t know if there is a more special word for the commutative case.


