Noncommutative Gröbner Bases and Filtered-Graded Transfer
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...
Κύριος συγγραφέας: | |
---|---|
Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2002.
|
Έκδοση: | 1st ed. 2002. |
Σειρά: | Lecture Notes in Mathematics,
1795 |
Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Περίληψη: | 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. |
---|---|
Φυσική περιγραφή: | IX, 202 p. online resource. |
ISBN: | 9783540457657 |
ISSN: | 0075-8434 ; |
DOI: | 10.1007/b84211 |