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|a 9783540457657
|9 978-3-540-45765-7
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|a 10.1007/b84211
|2 doi
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|a Li, Huishi.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a Noncommutative Gröbner Bases and Filtered-Graded Transfer
|h [electronic resource] /
|c by Huishi Li.
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|a 1st ed. 2002.
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg :
|b Imprint: Springer,
|c 2002.
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|a IX, 202 p.
|b online resource.
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|a text
|b txt
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|a Lecture Notes in Mathematics,
|x 0075-8434 ;
|v 1795
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|a Introduction -- Chapter I: Basic Structural Tricks and Examples -- Chapter II: Gröbner Bases in Associative Algebras -- Chapter III: Gröbner Bases and Basic Algebraic-Algorithmic Structures -- Chapter IV: Filtered-Graded Transfer of Gröbner Bases -- Chapter V: GK-dimension of Modules over Quadric Solvable Polynomial Algebras and Elimination of Variables -- Chapter VI: Multiplicity Computation of Modules over Quadric Solvable Polynomial Algebras -- Chapter VII: (partial-)Holonomic Modules and Functions over Quadric Solvable Polynomial Algebras -- Chapter VII: Regularity and Ko-group of Quadric Solvable Polynomial Algebras -- References -- Index.
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|a 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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|a Associative rings.
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|a Rings (Algebra).
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|a Algorithms.
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|a Associative Rings and Algebras.
|0 http://scigraph.springernature.com/things/product-market-codes/M11027
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|a Algorithms.
|0 http://scigraph.springernature.com/things/product-market-codes/M14018
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|a SpringerLink (Online service)
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|t Springer eBooks
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|i Printed edition:
|z 9783540441960
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|i Printed edition:
|z 9783662196816
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|a Lecture Notes in Mathematics,
|x 0075-8434 ;
|v 1795
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|u https://doi.org/10.1007/b84211
|z Full Text via HEAL-Link
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|a Mathematics and Statistics (Springer-11649)
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