| Noncommutative Gröbner Bases and Filtered-Graded Transfer 2002 Edition Contributor(s): Li, Huishi (Author) |
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ISBN: 3540441964 ISBN-13: 9783540441960 Publisher: Springer OUR PRICE: $66.45 Product Type: Paperback Published: October 2002 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Algebra - Abstract - Medical - Computers | Programming - Algorithms |
| Dewey: 512.4 |
| LCCN: 2002030390 |
| Series: Lecture Notes in Mathematics |
| Physical Information: 0.47" H x 6.14" W x 9.28" (0.70 lbs) 202 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |