Noncommutative Gröbner Bases and Filtered-Graded Transfer / Lecture Notes in Mathematics Bd.1795 (PDF)
(Sprache: Englisch)
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...
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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.
Bibliographische Angaben
- Autor: Huishi Li
- 2004, 2002, 202 Seiten, Englisch
- Verlag: Springer Berlin Heidelberg
- ISBN-10: 3540457658
- ISBN-13: 9783540457657
- Erscheinungsdatum: 19.10.2004
Abhängig von Bildschirmgrösse und eingestellter Schriftgrösse kann die Seitenzahl auf Ihrem Lesegerät variieren.
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- Grösse: 2.67 MB
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Englisch
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