Noncommutative Gröbner Bases and Filtered-Graded Transfer
Noncommutative Gröbner Bases and Filtered-Graded Transfer By Huishi Li (auth.)
2002 | 202 Pages | ISBN: 3540441964 | PDF | 1 MB
2002 | 202 Pages | ISBN: 3540441964 | PDF | 1 MB
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.