{"product_id":"9781402014024","title":"Mathematical Modelling: Theory and Applications: Applications to Quantum Groups","description":"\u003ch1\u003eMathematical Modelling: Theory and Applications: Applications to Quantum Groups\u003c\/h1\u003e \u003ch2\u003eBueso, J.L.; Gómez-Torrecillas, José; Verschoren, A.\u003c\/h2\u003e \u003cp\u003eThe 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.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2003-07-31\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9781402014024\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-94-017-0285-0\u003c\/p\u003e \u003cp\u003eDimensions: 234cm x156cm\u003c\/p\u003e \u003cp\u003ePages: 300\u003c\/p\u003e ","brand":"Springer Netherlands","offers":[{"title":"Default Title","offer_id":46541021773964,"sku":"9781402014024","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9781402014024.jpg?v=1775731256","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9781402014024","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}