Algorithmic Methods in Non-Commutative Algebra PDF Download

Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Algorithmic Methods in Non-Commutative Algebra PDF full book. Access full book title Algorithmic Methods in Non-Commutative Algebra by J.L. Bueso. Download full books in PDF and EPUB format.

Algorithmic Methods in Non-Commutative Algebra

Algorithmic Methods in Non-Commutative Algebra PDF Author: J.L. Bueso
Publisher: Springer Science & Business Media
ISBN: 9401702853
Category : Computers
Languages : en
Pages : 307

Book Description
The already broad range of applications of ring theory has been enhanced in the eighties by the increasing interest in algebraic structures of considerable complexity, the so-called class of quantum groups. One of the fundamental properties of quantum groups is that they are modelled by associative coordinate rings possessing a canonical basis, which allows for the use of algorithmic structures based on Groebner bases to study them. This book develops these methods in a self-contained way, concentrating on an in-depth study of the notion of a vast class of non-commutative rings (encompassing most quantum groups), the so-called Poincaré-Birkhoff-Witt rings. We include algorithms which treat essential aspects like ideals and (bi)modules, the calculation of homological dimension and of the Gelfand-Kirillov dimension, the Hilbert-Samuel polynomial, primality tests for prime ideals, etc.
➤