Noncommutative Gröbner Bases and Filtered-Graded Transfer

• Main Author: Li, Huishi (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2002.
• Edition: 1st ed. 2002.
• Series: Lecture Notes in Mathematics, 1795
• Subjects: Associative rings.; Rings (Algebra).; Algorithms.; Associative Rings and Algebras.

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...

Table of 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.