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Erschienen in:
1999 | OriginalPaper | Buchkapitel
Construction of Involutive Monomial Sets for Different Involutive Divisions
verfasst von : Vladimir P. Gerdt, Vladimir V. Kornyak, Matthias Berth, Günter Czichowski
Erschienen in: Computer Algebra in Scientific Computing CASC’99
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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We consider computational and implementation issues for the completion of monomial sets to involution using different involutive divisions. Every of these divisions produces its own completion procedure. For the polynomial case it yields an involutive basis which is a special form of a Gröbner basis, generally redundant. We also compare our Mathematica implementation of Janet division to an implementation in C.