MinimalInvolutiveMonomialBasis swMATH ID: 27979 Software Authors: Gerdt, Vladimir P.; Kornyak, Vladimir V.; Berth, Matthias Description: Construction of involutive monomial sets for different involutive divisions. We consider computation and implementation issues for the completion of monomial sets to involution using different involutive divisions. Each of these divisions produces its own completion procedure. For the polynomial case it yields an involutive basis which is a special form of the Gröbner basis. We also compare our Mathematica implementation of the Janet division to an implementation in C. Homepage: https://arxiv.org/pdf/math/9912031.pdf Dependencies: Mathematica Related Software: Mathematica Cited in: 1 Publication Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Construction of involutive monomial sets for different involutive divisions. Zbl 1072.13508Gerdt, Vladimir P.; Kornyak, Vladimir V.; Berth, Matthias 1999 Cited by 3 Authors 1 Berth, Matthias 1 Gerdt, Vladimir Petrovich 1 Kornyak, Vladimir V. Cited in 0 Serials Cited in 2 Fields 1 Commutative algebra (13-XX) 1 Computer science (68-XX) Citations by Year