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Noncommutative Gröbner Bases and Filtered-Graded Transfer

Noncommutative Gröbner Bases and Filtered-Graded Transfer

Paperback

Series: Lecture Notes in Mathematics, Book 1795

Medical ReferenceAlgebraProgramming

ISBN10: 3540441964
ISBN13: 9783540441960
Publisher: Springer Nature
Published: Oct 23 2002
Pages: 202
Weight: 0.70
Height: 0.47 Width: 6.14 Depth: 9.28
Language: English
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.

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