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. © 2010 The Author(s).
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Fink, A. (2011). The binomial ideal of the intersection axiom for conditional probabilities. Journal of Algebraic Combinatorics, 33(3), 455–463. https://doi.org/10.1007/s10801-010-0253-5