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arXiv · 1303.6296

A Variant of the Gr\"obner Basis Algorithm for Computing Hilbert Bases

Natalia Dück·Karl-Heinz Zimmermann
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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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Natalia Dück, Karl-Heinz Zimmermann. 2013-03-25. A Variant of the Gr\"obner Basis Algorithm for Computing Hilbert Bases. https://arxiv.org/abs/1303.6296

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