(DOWNLOAD) "Solving Polynomial Equation Systems IV" by Teo Mora " eBook PDF Kindle ePub Free

July 30, 2021

eBook details

Title: Solving Polynomial Equation Systems IV
Author : Teo Mora
Release Date : January 14, 2016
Genre: Mathematics,Books,Science & Nature,
Pages : * pages
Size : 129881 KB

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.