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math.AC2005★ 3 cited
Janet Bases of Toric Ideals
Vladimir P. Gerdt, Yuri A. Blinkov
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 tree…
math.AC1999
Minimal Involutive Bases
Vladimir P. Gerdt, Yuri A. Blinkov
In this paper we present an algorithm for construction of minimal involutive polynomial bases which are Groebner bases of the special form. The most general involutive algorithms a…
math.AC1999
Involutive Bases of Polynomial Ideals
Vladimir P. Gerdt, Yuri A. Blinkov
In this paper we consider an algorithmic technique more general than that proposed by Zharkov and Blinkov for the involutive analysis of polynomial ideals. It is based on a new con…