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Janet Bases of Toric Ideals

Vladimir P. Gerdt, Yuri A. Blinkov

math.ACarXiv:math/0501180

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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