Übersicht			Auf mobile öffnen

Lieferstatus:	Auf Bestellung (Lieferzeit unbekannt)
Veröffentlichung:	Dezember 2010
Genre:	Schulbücher
	Algebra / Algebraic Geometry / Algorithms / Associative rings / Associative Rings and Algebras / C / Category theory (Mathematics) / Category Theory, Homological Algebra / Homological algebra / Mathematical foundations / Mathematics and Statistics / Numeric Computing / Numerical analysis / Rings (Algebra) mehr...
ISBN:	9789048163281
EAN-Code:	9789048163281
Verlag:	Springer EN
Einband:	Kartoniert
Sprache:	English
Serie:	#17 - Mathematical Modelling: Theory and Applications
Dimensionen:	H 235 mm / B 155 mm / D
Gewicht:	486 gr
Seiten:	300
Illustration:	XI, 300 p.
Zus. Info:	EUDR exemption - product or manufacturing materials placed on the market prior to 31.12.2025.
Bewertung:	Titel bewerten / Meinung schreiben

Inhalt:

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.