Principal prime ideal
This article defines a property of an ideal in a commutative unital ring |View other properties of ideals in commutative unital rings
Definition
An ideal in a commutative unital ring is termed a principal prime ideal if it satisfies the following equivalent conditions:
- It is a principal ideal and a prime ideal
- It is generated by a prime element (or, by zero, in the event that the ring is an integral domain)