Solving Polynomial Equation Systems
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Solving Polynomial Equation Systems
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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, 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.
Product details
- Type:
- Book
- Edition:
- 1
- Languages:
-
Original:
English
- Number of Pages:
-
834
- Publisher:
-
Cambridge University Press
- Publication Date:
-
2016-03-07
- ISBN / EAN:
-
9781107109636
- Weight:
-
1553 g
- Dimensions:
-
16/24/5 cm
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