Journal of Algebraic Combinatorics

, Volume 33, Issue 3, pp 455-463

First online:

Open Access This content is freely available online to anyone, anywhere at any time.

The binomial ideal of the intersection axiom for conditional probabilities

  • Alex FinkAffiliated withDepartment of Mathematics, North Carolina State University Email author 


The binomial ideal associated with the intersection axiom of conditional probability is shown to be radical and is expressed as an intersection of toric prime ideals. This solves a problem in algebraic statistics posed by Cartwright and Engström.


Conditional independence Intersection axiom