Primary decomposition of commuting birth and death ideals
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CBD Ideals
This page serves as a reference for the paper Decompositions of Binomial Ideals 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 Binomials.m2, my Macaulay2 pacakge for binomial ideals.
Download
- 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
Note that the primary decomposition of I23 provides a counterexample to the conjectures in the paper of Evans, Sturmfels, Uhler.
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