Primary decomposition of commuting birth and death ideals

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.

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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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(c) Thomas Kahle - 04 Sep 2023
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