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Noncommutative Gröbner bases and filtered-graded transfer /

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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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Bibliographic Details
Main Author: Li, Huishi
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin ; New York : Springer, [2002]
Series:Lecture notes in mathematics (Springer-Verlag) ; 1795.
Subjects:
Associative rings > Data processing.
Gröbner bases.
Algebra > Data processing.
Filtered rings.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Introduction
  • Chapter I: Basic Structural Tricks and Examples
  • Chapter II: Grbner Bases in Associative Algebras
  • Chapter III: Grbner Bases and Basic Algebraic-Algorithmic Structures
  • Chapter IV: Filtered-Graded Transfer of Grbner 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.