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...
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; New York :
Springer,
[2002]
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| Series: | Lecture notes in mathematics (Springer-Verlag) ;
1795. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (ix, 197 pages) |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9783540457657 (electronic bk.) 3540457658 (electronic bk.) |
| ISSN: | 0075-8434 ; |