eBook - PDF

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

Name: Solving Polynomial Equation Systems IV: Volume 4, Buchberger Theory and Beyond
Author: Teo Mora

Teo Mora,

English
PDF
Available on iOS & Android

eBook - PDF

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

Teo Mora,

About this book

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.

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Yes, you can access Solving Polynomial Equation Systems IV: Volume 4, Buchberger Theory and Beyond by Teo Mora in PDF and/or ePUB format, as well as other popular books in Mathematics & Algebra. We have over one million books available in our catalogue for you to explore.