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...

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Bibliografiske detaljer
Hovedforfatter: Li, Huishi, 1955-
Format: Livre numérique
Sprog:Anglais
Udgivet: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Serier:Lecture notes in mathematics 1795
Fag:
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Edition sous un autre format:• Noncommutative Gröbner bases and filtered-graded transfer, Huishi Li, 2002, Berlin, Springer, 1 vol. (IX-197 p.), Lecture notes in mathematics, 3-540-44196-4
• Noncommutative Gröbner Bases and Filtered-Graded Transfer, Texte imprimé, 9783662196816
Indholdsfortegnelse:
  • 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.