Binomial generation of the radical of a lattice ideal

Details Binomial generation of the radical of a lattice ideal Binomial generation of the radical of a lattice ideal

2008-11-24

arxiv.org/abs/0811.3833v2

Mathematics

Commutative Algebra

14 pages, to appear in Journal of Algebra

Scientific paper

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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