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Algorithmic Methods in Non-Commutative Algebra - 9789048163281

Description: Algorithmic Methods in Non-Commutative Algebra Please note: this item is printed on demand and will take extra time before it can be dispatched to you (up to 20 working days). Applications to Quantum Groups Author(s): J.L. Bueso, Jose Gomez-Torrecillas, A. Verschoren Format: Paperback Publisher: Springer, Netherlands Imprint: Springer ISBN-13: 9789048163281, 978-9048163281 Synopsis 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 Poincare-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.

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Location: Aldershot

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Algorithmic Methods in Non-Commutative Algebra - 9789048163281

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Book Title: Algorithmic Methods in Non-Commutative Algebra

Number of Pages: 300 Pages

Publication Name: Algorithmic Methods in Non-Commutative Algebra: Applications to Quantum Groups

Language: English

Publisher: Springer

Item Height: 235 mm

Subject: Computer Science, Mathematics

Publication Year: 2010

Type: Textbook

Item Weight: 486 g

Author: A. Verschoren, J.L. Bueso, Jose Gomez-Torrecillas

Item Width: 155 mm

Series: Mathematical Modelling: Theory and Applications

Format: Paperback

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