The binomial ideal of the intersection axiom for conditional probabilities

  • Authors:

  • Alex Fink

  • Affiliations:

  • Department of Mathematics, North Carolina State University, Raleigh, USA

  • Venue:
  • Journal of Algebraic Combinatorics: An International Journal
  • Year:
  • 2011

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Abstract

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.