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Solving Polynomial Equation Systems IV: Volume 4, Buchberger Theory and Beyond

Gebonden Engels 2016 9781107109636
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In this fourth and final volume the author extends Buchberger's Algorithm in three different directions. First, he extends the theory to group rings and other Ore-like extensions, and provides an operative scheme that allows one to set a Buchberger theory over any effective associative ring. Second, he covers similar extensions as tools for discussing parametric polynomial systems, the notion of SAGBI-bases, Gröbner bases over invariant rings and Hironaka's theory. Finally, Mora shows how Hilbert's followers - notably Janet, Gunther and Macaulay - anticipated Buchberger's ideas and discusses the most promising recent alternatives by Gerdt (involutive bases) and Faugère (F4 and F5). This comprehensive treatment in four volumes is a significant contribution to algorithmic commutative algebra that will be essential reading for algebraists and algebraic geometers.

Specificaties

ISBN13:9781107109636
Taal:Engels
Bindwijze:Gebonden
Aantal pagina's:834

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Inhoudsopgave

Part VII. Beyond: 46. Zacharias; 47. Bergman; 48. Ufnarovski; 49. Weispfenning; 50. Spear2; 51. Weispfenning II; 52. Sweedler; 53. Hironaka; 54. Hironaka II; 55. Janet; 56. Macaulay V; 57. Gerdt and Faugère; Bibliography; Index.

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€ 253,15
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        Solving Polynomial Equation Systems IV: Volume 4, Buchberger Theory and Beyond