Name: algorithmic methods in non-commutative algebra
Price: 54.17 EUR
Availability: InStock
Author: bueso,gómez-torrecillas,verschoren
ISBN: 9781402014024

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portada algorithmic methods in non-commutative algebra

algorithmic methods in non-commutative algebra

Type

Physical Book

Publisher

Springer

Author

bueso,gómez-torrecillas,verschoren

Language

English

Pages

298

ISBN

1402014023

ISBN13

9781402014024

Synopsis "algorithmic methods in non-commutative algebra"

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.