Janet Bases of Toric Ideals

Details Janet Bases of Toric Ideals Janet Bases of Toric Ideals

2005-01-12

arxiv.org/abs/math/0501180v1

Mathematics

Commutative Algebra

11 pages, Proceedings of the 8th Rhine Workshop on Computer Algebra (Mannheim, Germany, March 21-22, 2002), H.Kredel and W.K.S

Scientific paper

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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