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Noncommutative Gröbner Bases and Filtered-Graded Transfer

by Huishi Li
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Current price ₹5,222.00
Original price ₹6,267.00
Original price ₹6,267.00
Original price ₹6,267.00
(-17%)
₹5,222.00
Current price ₹5,222.00

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Book cover type: Paperback
  • ISBN13: 9783540441960
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 202
  • Original Price: GBP 40.99
  • Language: English
  • Edition: 2002
  • Item Weight: 318 grams
  • BISAC Subject(s): Algebra / Abstract

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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