Noncommutative Gröbner Bases and Filtered-Graded Transfer
Li, Huishi. · 2002
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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 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.
First sentence: We assume that the reader is familiar with basic ring theory and module theory.
Book details
- Year
- 2002
- Language
- English
- Publisher
- Springer
- Editions
- 1
- Pages
- 197
- ISBN
- 9783540441960
Data source: Wikidata