Indecomposable ideal
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 termed indecomposable or join-irreducible if it is nonzero, and cannot be expressed as a sum of two strictly smaller ideals.
Relation with other properties
Incomparable properties
- Irreducible ideal: This is the meet-irreducibility