Kniha Algorithmic Methods in Non-Commutative Algebra J.L. Bueso

Algorithmic Methods in Non-Commutative Algebra

Applications to Quantum Groups

Jazyk: Angličtina
Vazba: Pevná
Dostupnost: Skladem u dodavatele v malém množství
Odesíláme za 13-18 dnů
1 311
The already broad range of applications of ring theory has been enhanced in the eighties by the incr...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Pevná
Vydáno
2003
Stránek
300
EAN
9781402014024
ISBN
1402014023
Enbook ID
01415298
Hmotnost
626
Rozměry
160 x 242 x 19

Kompletní popis

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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