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OverviewThis 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 DetailsAuthor: Huishi LiPublisher: 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: 9783540441960ISBN 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 We will order this item for you from a manufatured on demand supplier. Table of ContentsReviewsFrom 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. Author InformationTab Content 6Author Website:Countries AvailableAll regions |