Noncommutative Gröbner Bases and Filtered-Graded Transfer

von Huishi Li

202 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• ISBN: 9783540441960
• Sprache: Englisch
• Erscheinungsdatum: 23.10.2002
• Genre: Mathematik/Arithmetik, Algebra
• Verlag: Springer Berlin