A non radical commuting birth and death ideal

This page serves as a reference for the paper Decompositions of Binomial Ideals (Kahle, 2010), arXiv:0906.4873.

For a reference on commuting birth and death ideals see:

• Steven N. Evans, Bernd Sturmfels, Caroline Uhler : Commuting birth-and-death processes arxiv:0812.2724

All results given here are derived using the Binomials Macaulay2 package.

• Downloads
  • Python script to generate M2 code for 2D grid ideals
  • Python script to generate M2 code for 3D grid ideals
  • I15 - prime decomposition into 466 minimal primes
  • I16 - prime decomposition into 1528 minimal priems
  • I23 - primary decomposition into 2638 primary ideals
  • I23 - 2628 minimal primes and radical of I23
  • The 10 non-prime primary components of I23

The primary decomposition of I23 is a counterexample to the conjectures in the paper of Evans, Sturmfels, Uhler.