Definition:Jacobson Ring

Definition
A commutative ring with unity is a Jacobson ring if every  prime ideal of the ring is an intersection of  maximal ideals.

Source of the Name
The term Jacobson ring was coined by Wolfgang Krull in honour of Nathan Jacobson's work on the intersection of the maximal ideals of ring, now called the Jacobson Radical.

It is also known as a Hilbert ring, for David Hilbert.