Commutative Algebra – Terminology for Commutative Ring with Nilpotent Jacobson Radical and Semisimple Quotient

Question

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.)

Answer 1

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.