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Janet Bases of Toric Ideals

Vladimir P. Gerdt·Yuri A. Blinkov
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Abstract

In this paper we present a version of the general polynomial involutive algorithm for computing Janet bases specialized to toric ideals. The relevant data structures are Janet trees which provide a very fast search for a Janet divisor. We broach also efficiency issues in view of application of the algorithm presented to computation of toric ideals.

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Vladimir P. Gerdt, Yuri A. Blinkov. 2005-01-12. Janet Bases of Toric Ideals. https://arxiv.org/abs/math/0501180

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