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arXiv · 0811.3833

Binomial generation of the radical of a lattice ideal

Anargyros Katsabekis·Marcel Morales·Apostolos Thoma
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Abstract

Let $I_{L, \rho}$ be a lattice ideal. We provide a necessary and sufficient criterion under which a set of binomials in $I_{L, \rho}$ generate the radical of $I_{L, \rho}$ up to radical. We apply our results to the problem of determining the minimal number of generators of $I_{L, \rho}$ or of the $rad(I_{L, \rho})$ up to radical.

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Anargyros Katsabekis, Marcel Morales, Apostolos Thoma. 2008-11-24. Binomial generation of the radical of a lattice ideal. https://arxiv.org/abs/0811.3833

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