The binomial ideal of the intersection axiom for conditional probabilities
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- Fink, A. J Algebr Comb (2011) 33: 455. doi:10.1007/s10801-010-0253-5
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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.