 ##  [Complete Intersection Property](/complete-intersection-property) 

  ##  [Complete Intersection Property](https://algebra.quantumdictionary.io/complete-intersection-property-0) 

  

 [![Algebra](/sites/default/files/styles/large/public/2026-01/Algebra.png.webp?itok=3pHxBnUF)](/topic-specific-dictionaries/pure-mathematics/algebra)

- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A property of an ideal or a local (or graded) ring meaning it can be generated by a regular sequence whose length equals the codimension; equivalently the ring is a quotient of a regular ring by a regular sequence.