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Noncommutative Gröbner Bases and Filtered-Graded Transfer / by Huishi Li.
Math/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2192-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2366,2368-2379,2381-2382 2385,2388-2389
Mixed Availability
LIBRA QA3 .L28 Scattered vols.
Mixed Availability
- Format:
- Book
- Author/Creator:
- Li, Huishi, author.
- Series:
- Lecture Notes in Mathematics, 0075-8434 ; 1795.
- Lecture Notes in Mathematics, 0075-8434 ; 1795
- Language:
- English
- Subjects (All):
- Algebra.
- Algorithms.
- Associative Rings and Algebras.
- Local Subjects:
- Associative Rings and Algebras.
- Algorithms.
- Physical Description:
- 1 online resource (IX, 202 pages).
- Contained In:
- Springer eBooks
- Place of Publication:
- Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2002.
- System Details:
- text file PDF
- Summary:
- 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.
- Contents:
- 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.
- Other Format:
- Printed edition:
- ISBN:
- 9783540457657
- Access Restriction:
- Restricted for use by site license.
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