Noncommutative Gröbner Bases and Filtered-Graded Transfer

Introduction.- Chapter I: Basic Structural Tricks and Examples.- Chapter II: Grobner Bases in Associative Algebras.- Chapter III: Grobner Bases and Basic Algebraic-Algorithmic Structures.- Chapter IV: Filtered-Graded Transfer of Grobner 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.