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

General

Imprint:	Cambridge UniversityPress
Country of origin:	United Kingdom
Series:	Encyclopedia of Mathematics and its Applications
Release date:	April 2016
Authors:	Teo Mora
Dimensions:	240 x 163 x 57mm (L x W x T)
Format:	Hardcover
Pages:	834
ISBN-13:	978-1-107-10963-6
Categories:	Books > Science & Mathematics > Mathematics > Algebra > General Promotions
LSN:	1-107-10963-9
Barcode:	9781107109636

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