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arxiv: math/0501180 · v1 · submitted 2005-01-12 · 🧮 math.AC · math.AG

Janet Bases of Toric Ideals

classification 🧮 math.AC math.AG
keywords janetidealstoricalgorithmbasesapplicationbroachcomputation
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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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