{"product_id":"algorithmic-methods-in-non-commutative-algebra-applications-to-quantum-groups-9789048163281","title":"Algorithmic Methods in Non-Commutative Algebra: Applications to Quantum Groups","description":"\u003cp\u003e • Author(s): J. L. Bueso\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Computer Science\u003c\/p\u003e\u003cp\u003e\u003c\/p\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","brand":"Springer","offers":[{"title":"Paperback","offer_id":45282613526679,"sku":"9789048163281","price":3639.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9789048163281.webp?v=1769302662","url":"https:\/\/atlanticbooks.com\/products\/algorithmic-methods-in-non-commutative-algebra-applications-to-quantum-groups-9789048163281","provider":"Atlantic Books","version":"1.0","type":"link"}