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… Meer...
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.; PDF; Scientific, Technical and Medical > Mathematics > Applied mathematics > Mathematical modelling, Springer Netherlands<
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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… Meer...
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., Springer<
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*Algorithmic Methods in Non-Commutative Algebra* - Applications to Quantum Groups / pdf eBook für 53.49 € / Aus dem Bereich: eBooks, Fachthemen & Wissenschaft, Mathematik Medien > Bücher … Meer...
*Algorithmic Methods in Non-Commutative Algebra* - Applications to Quantum Groups / pdf eBook für 53.49 € / Aus dem Bereich: eBooks, Fachthemen & Wissenschaft, Mathematik Medien > Bücher nein eBook als pdf eBooks > Fachthemen & Wissenschaft > Mathematik, Springer Netherlands<
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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… Meer...
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.; PDF; Scientific, Technical and Medical > Mathematics > Applied mathematics > Mathematical modelling, Springer Netherlands<
No. 9789401702850. Verzendingskosten:Instock, Despatched same working day before 3pm, zzgl. Versandkosten., exclusief verzendingskosten
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… Meer...
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., Springer<
Nr. 978-94-017-0285-0. Verzendingskosten:Worldwide free shipping, , DE. (EUR 0.00)
*Algorithmic Methods in Non-Commutative Algebra* - Applications to Quantum Groups / pdf eBook für 53.49 € / Aus dem Bereich: eBooks, Fachthemen & Wissenschaft, Mathematik Medien > Bücher … Meer...
*Algorithmic Methods in Non-Commutative Algebra* - Applications to Quantum Groups / pdf eBook für 53.49 € / Aus dem Bereich: eBooks, Fachthemen & Wissenschaft, Mathematik Medien > Bücher nein eBook als pdf eBooks > Fachthemen & Wissenschaft > Mathematik, Springer Netherlands<
9789401702850. Verzendingskosten:In stock (Download), , Versandkostenfrei nach Hause oder Express-Lieferung in Ihre Buchhandlung., DE. (EUR 0.00)
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Bibliografische gegevens van het best passende boek
Boek bevindt zich in het datenbestand sinds 2017-05-22T22:59:56+02:00 (Amsterdam) Detailpagina laatst gewijzigd op 2023-10-25T18:43:19+02:00 (Amsterdam) ISBN/EAN: 9789401702850
ISBN - alternatieve schrijfwijzen: 978-94-017-0285-0 alternatieve schrijfwijzen en verwante zoekwoorden: Auteur van het boek: bues Titel van het boek: commutative algebra
Gegevens van de uitgever
Auteur: J.L. Bueso; José Gómez-Torrecillas; A. Verschoren Titel: Mathematical Modelling: Theory and Applications; Algorithmic Methods in Non-Commutative Algebra - Applications to Quantum Groups Uitgeverij: Springer; Springer Netherland 300 Bladzijden Verschijningsjaar: 2013-03-09 Dordrecht; NL Taal: Engels 53,49 € (DE) 55,00 € (AT) 59,00 CHF (CH) Available XI, 300 p.
EA; E107; eBook; Nonbooks, PBS / Mathematik/Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik; Numerische Mathematik; Verstehen; Algebraic structure; Gröbner basis; algorithms; complexity; ring theory; C; Numerical Analysis; Associative Rings and Algebras; Algorithms; Category Theory, Homological Algebra; Algebraic Geometry; Mathematics and Statistics; Algebra; Algorithmen und Datenstrukturen; Algebraische Geometrie; BC
1. Generalities on rings.- 2. Gröbner basis computation algorithms.- 3. Poincaré-Birkhoff-Witt Algebras.- 4. First applications.- 5. Gröbner bases for modules.- 6. Syzygies and applications.- 7. The Gelfand-Kirillov dimension and the Hilbert polynomial.- 8. Primality.- References.
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