Binomials.m2, a package for Macaulay2 to compute primary and other decompositions of binomial ideals. The current implementation is for pure difference ideals in characteristic zero. The package was first described in Decomposing Binomial Ideals (AISM, 62(4), (2010), p. 727-745) arxiv:0906.4873. This new preprint explains some new algorithms.

References in zbMATH (referenced in 16 articles , 2 standard articles )

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  1. Abo, Hirotachi; Eklund, David; Kahle, Thomas; Peterson, Chris: Eigenschemes and the Jordan canonical form (2016)
  2. Kahle, Thomas; Miller, Ezra; O’Neill, Christopher: Irreducible decomposition of binomial ideals (2016)
  3. Kahle, Thomas; Sarmiento, Camilo; Windisch, Tobias: Parity binomial edge ideals (2016)
  4. Chen, Tianran; Li, Tien-Yien: Homotopy continuation method for solving systems of nonlinear and polynomial equations (2015)
  5. Conradi, Carsten; Kahle, Thomas: Detecting binomiality (2015)
  6. Engström, Alexander; Kahle, Thomas; Sullivant, Seth: Multigraded commutative algebra of graph decompositions (2014)
  7. Kahle, Thomas; Miller, Ezra: Decompositions of commutative monoid congruences and binomial ideals. (2014)
  8. Kahle, Thomas; Rauh, Johannes; Sullivant, Seth: Positive margins and primary decomposition (2014)
  9. Miller, Ezra: Affine stratifications from finite misère quotients. (2013)
  10. Swanson, Irena; Taylor, Amelia: Minimal primes of ideals arising from conditional independence statements (2013)
  11. Kahle, Thomas: Decompositions of binomial ideals (2012)
  12. Fink, Alex: The binomial ideal of the intersection axiom for conditional probabilities (2011)
  13. Guo, Alan; Miller, Ezra: Lattice point methods for combinatorial games (2011)
  14. Ojeda, Ignacio: Binomial canonical decompositions of binomial ideals (2011)
  15. Kahle, Thomas: Decompositions of binomial ideals (2010)
  16. Shiu, Anne; Sturmfels, Bernd: Siphons in chemical reaction networks (2010)