Complete intersection

This article defines a property of commutative unital rings; a property that can be evaluated for a commutative unital ring
View all properties of commutative unital rings
VIEW RELATED: Commutative unital ring property implications | Commutative unital ring property non-implications |Commutative unital ring metaproperty satisfactions | Commutative unital ring metaproperty dissatisfactions | Commutative unital ring property satisfactions | Commutative unital ring property dissatisfactions

Definition

A commutative unital ring is termed a complete intersection if it can be expressed as the quotient of a regular ring by the ideal generated by a regular sequence.

Relation with other properties

Stronger properties

• Regular local ring
• Regular ring

Weaker properties

• Locally a complete intersection
• Cohen-Macaulay ring