Noncommutative Gröbner Bases and Filtered-Graded Transfer

Author:   Huishi Li
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   2002 ed.
Volume:   1795
ISBN:  

9783540441960


Pages:   202
Publication Date:   23 October 2002
Format:   Paperback
Availability:   Out of print, replaced by POD   Availability explained
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Noncommutative Gröbner Bases and Filtered-Graded Transfer


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Overview

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.

Full Product Details

Author:   Huishi Li
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2002 ed.
Volume:   1795
Dimensions:   Width: 15.50cm , Height: 1.10cm , Length: 23.50cm
Weight:   0.690kg
ISBN:  

9783540441960


ISBN 10:   3540441964
Pages:   202
Publication Date:   23 October 2002
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of print, replaced by POD   Availability explained
We will order this item for you from a manufatured on demand supplier.

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From the reviews: <p>MATHEMATICAL REVIEWS <p> The monograph covers an important area of research, and the material included may be helpful for researchers and graduate students interested in developing and using Grobner bases in solutions to various mathematical problems. References to many existing computer algebra systems enable the readers to verify methods introduced in this book with the help of computers.


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