Noncommutative Gröbner Bases and Filtered-Graded Transfer
(Sprache: Englisch)
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...
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Klappentext zu „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 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.
Inhaltsverzeichnis zu „Noncommutative Gröbner Bases and Filtered-Graded Transfer “
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 SolvablePolynomial 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.
Bibliographische Angaben
- Autor: Huishi Li
- 2002, 2002., 202 Seiten, Masse: 15,5 x 23,5 cm, Kartoniert (TB), Englisch
- Verlag: Springer
- ISBN-10: 3540441964
- ISBN-13: 9783540441960
- Erscheinungsdatum: 23.10.2002
Sprache:
Englisch
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