Journal of Algebraic Combinatorics

, Volume 33, Issue 3, pp 455–463

The binomial ideal of the intersection axiom for conditional probabilities

Open Access


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 

Copyright information

© The Author(s) 2010

Authors and Affiliations

  1. 1.Department of MathematicsNorth Carolina State UniversityRaleighUSA

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