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A Variant of the Gröbner Basis Algorithm for Computing Hilbert Bases

Published 25 Mar 2013 in math.AG, cs.SC, and math.AC | (1303.6296v1)

Abstract: Gr\"obner bases can be used for computing the Hilbert basis of a numerical submonoid. By using these techniques, we provide an algorithm that calculates a basis of a subspace of a finite-dimensional vector space over a finite prime field given as a matrix kernel.

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