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{ "item_title" : "Solving Polynomial Equation Systems IV", "item_author" : [" Teo Mora "], "item_description" : "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, Gr bner 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 Faug re (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.", "item_img_path" : "https://covers1.booksamillion.com/covers/bam/1/10/710/963/1107109639_b.jpg", "price_data" : { "retail_price" : "246.00", "online_price" : "246.00", "our_price" : "246.00", "club_price" : "246.00", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }
Solving Polynomial Equation Systems IV|Teo Mora

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

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Overview

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, Gr bner 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 Faug re (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.

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Details

  • ISBN-13: 9781107109636
  • ISBN-10: 1107109639
  • Publisher: Cambridge University Press
  • Publish Date: April 2016
  • Dimensions: 9.21 x 6.14 x 2 inches
  • Shipping Weight: 3.19 pounds
  • Page Count: 834

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