Definition:Jacobson Ring

Definition
Let $\struct {R, +, \circ}$ be a commutative ring with unity.

Then $\struct {R, +, \circ}$ is a Jacobson ring :
 * every prime ideal of $\struct {R, +, \circ}$ is an intersection of maximal ideals.

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

Also see

 * Definition:Jacobson Radical