Ideal with maximal radical

This article defines a property of an ideal in a commutative unital ring |View other properties of ideals in commutative unital rings

Definition

Symbol-free definition

An ideal in a commutative unital ring is said to have maximal radical if its radical is a maximal ideal.

Relation with other properties

Stronger properties

• Ideal containing a power of a maximal ideal
• Power of a maximal ideal

Weaker properties

• Primary ideal