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Solving Polynomial Equation Systems IV: Volume 4, Buchberger Theory and Beyond: 158 (Encyclopedia of Mathematics and its Applications, Series Number 158) - Hardcover

 
9781107109636: Solving Polynomial Equation Systems IV: Volume 4, Buchberger Theory and Beyond: 158 (Encyclopedia of Mathematics and its Applications, Series Number 158)

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Covers extensions of Buchberger's Theory and Algorithm, and promising recent alternatives to Gröbner bases.

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Teo Mora is a Professor of Algebra in the Department of Mathematics at the University of Genoa.

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Hardcover. Condition: new. Hardcover. 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, Groebner 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 Faugere (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. In this fourth and final volume the author covers extensions of Buchberger's Algorithm, including a discussion of the most promising recent alternatives to Groebner bases: Gerdt's involutive bases and Faugere's F4 and F5 algorithms. This completes the author's comprehensive treatise, which is a fundamental reference for any mathematical library. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9781107109636

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Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. In this fourth and final volume the author covers extensions of Buchberger s Algorithm, including a discussion of the most promising recent alternatives to Groebner bases: Gerdt s involutive bases and Faugere s F4 and F5 algorithms. This completes the autho. Seller Inventory # 35211329

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