Noncommutative Gröbner Bases and Filtered-Graded Transfer
This self-contained monograph is the first to feature the intersection of the structure theory of noncommutative associative algebras and the algorithmic aspect of Groebner basis theory. A double filtered-graded transfer of data in using noncommutative Groebner bases leads to effective exploitation...
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|---|---|
| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Collection: | Lecture notes in mathematics
1795 |
| Sujets: | |
| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Noncommutative Gröbner bases and filtered-graded transfer, Huishi Li, 2002, Berlin, Springer, 1 vol. (IX-197 p.), Lecture notes in mathematics, 3-540-44196-4 • Noncommutative Gröbner Bases and Filtered-Graded Transfer, Texte imprimé, 9783662196816 |
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| 100 | 1 | |a Li, Huishi, |d 1955- | |
| 245 | 1 | 0 | |a Noncommutative Gröbner Bases and Filtered-Graded Transfer |c Huishi Li. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1795 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Introduction -- Chapter I: Basic Structural Tricks and Examples -- Chapter II: Gröbner Bases in Associative Algebras -- Chapter III: Gröbner Bases and Basic Algebraic-Algorithmic Structures -- Chapter IV: Filtered-Graded Transfer of Gröbner Bases -- Chapter V: GK-dimension of Modules over Quadric Solvable Polynomial Algebras and Elimination of Variables -- Chapter VI: Multiplicity Computation of Modules over Quadric Solvable Polynomial Algebras -- Chapter VII: (partial-)Holonomic Modules and Functions over Quadric Solvable Polynomial Algebras -- Chapter VII: Regularity and Ko-group of Quadric Solvable Polynomial Algebras -- References -- Index. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a This self-contained monograph is the first to feature the intersection of the structure theory of noncommutative associative algebras and the algorithmic aspect of Groebner basis theory. A double filtered-graded transfer of data in using noncommutative Groebner bases leads to effective exploitation of the solutions to several structural-computational problems, e.g., an algorithmic recognition of quadric solvable polynomial algebras, computation of GK-dimension and multiplicity for modules, and elimination of variables in noncommutative setting. All topics included deal with algebras of (q-)differential operators as well as some other operator algebras, enveloping algebras of Lie algebras, typical quantum algebras, and many of their deformations. | ||
| 650 | |a Anneaux associatifs |x Informatique | ||
| 650 | |a Bases de Gröbner | ||
| 650 | |a Calcul formel | ||
| 650 | |a Anneaux filtrés | ||
| 650 | |a Algorithmes | ||
| 650 | |a Mathématiques | ||
| 776 | 0 | |0 073444642 |t Noncommutative Gröbner bases and filtered-graded transfer |f Huishi Li |d 2002 |c Berlin |n Springer |p 1 vol. (IX-197 p.) |s Lecture notes in mathematics |z 3-540-44196-4 | |
| 776 | 0 | |t Noncommutative Gröbner Bases and Filtered-Graded Transfer |b Texte imprimé |z 9783662196816 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/b84211 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-PLFKSHP0-H |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750647620 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/b84211 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:753998327 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/b84211 |z Accès INSA CVL | |
| 997 | |0 971887 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||