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Autore: |
Li Huishi
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Titolo: |
Noncommutative Gröbner Bases and Filtered-Graded Transfer / / by Huishi Li
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Pubblicazione: | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2002 |
Edizione: | 1st ed. 2002. |
Descrizione fisica: | 1 online resource (IX, 202 p.) |
Disciplina: | 512.4 |
Soggetto topico: | Associative rings |
Rings (Algebra) | |
Algorithms | |
Associative Rings and Algebras | |
Note generali: | Bibliographic Level Mode of Issuance: Monograph |
Nota di contenuto: | 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. |
Sommario/riassunto: | 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. |
Titolo autorizzato: | Noncommutative Gröbner bases and filtered-graded transfer ![]() |
ISBN: | 3-540-45765-8 |
Formato: | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 9910144940903321 |
Lo trovi qui: | Univ. Federico II |
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