FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2001, VOLUME 7, NUMBER 4, PAGES 993-1001

Involutive Gröbner walk

O. D. Golubitsky

Abstract

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An algorithm that transforms an involutive basis of a polynomial ideal with respect to one monomial ordering into an involutive basis with respect to another ordering is proposed. The algorithm is based on the Gr\"obner walk method of transformation of Gr\"obner bases of polynomial ideals.

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