Solving Polynomial Equation Systems IV Volume 4 Buchberger Theory and Beyond
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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, Grbner 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 Faugre (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.
| Publisher Name | Cambridge University Press |
|---|---|
| Author Name | Hagendorf, Col |
| Format | Audio |
| Bisac Subject Major | MAT |
| Language | NG |
| Isbn 10 | 1107109639 |
| Isbn 13 | 9781107109636 |
| Target Age Group | min:NA, max:NA |
| Series | 000037558158 |
| Dimensions | 00.92" H x 10.06" L x 14.00" W |
| Page Count | 834 |
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