bokomslag Algorithmic Methods in Non-Commutative Algebra
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Algorithmic Methods in Non-Commutative Algebra

J L Bueso Jos Gmez-Torrecillas A Verschoren

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  • 300 sidor
  • 2010
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 Poincar-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.
  • Författare: J L Bueso, Jos Gmez-Torrecillas, A Verschoren
  • Format: Pocket/Paperback
  • ISBN: 9789048163281
  • Språk: Engelska
  • Antal sidor: 300
  • Utgivningsdatum: 2010-12-08
  • Förlag: Springer