Intersection of maximal ideals
This article defines a property of an ideal in a commutative unital ring |View other properties of ideals in commutative unital rings
This property of an ideal in a ring is equivalent to the property of the quotient ring being a/an: semisimple ring | View other quotient-determined properties of ideals in commutative unital rings
Note that although a maximal ideal is assumed to be proper, an intersection of maximal ideals could be the whole ring, i.e. we allow the empty intersection.
Relation with other properties
Related ring properties
A ring in which every radical ideal is an intersection of maximal ideals is termed a Jacobson ring (or sometimes a Hilbert ring).