000 | 03142nam a22004815i 4500 | ||
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001 | 978-3-540-45765-7 | ||
003 | DE-He213 | ||
005 | 20190213151034.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s2002 gw | s |||| 0|eng d | ||
020 |
_a9783540457657 _9978-3-540-45765-7 |
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024 | 7 |
_a10.1007/b84211 _2doi |
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050 | 4 | _aQA251.5 | |
072 | 7 |
_aPBF _2bicssc |
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072 | 7 |
_aMAT002010 _2bisacsh |
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072 | 7 |
_aPBF _2thema |
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082 | 0 | 4 |
_a512.46 _223 |
100 | 1 |
_aLi, Huishi. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aNoncommutative Gröbner Bases and Filtered-Graded Transfer _h[electronic resource] / _cby Huishi Li. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2002. |
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300 |
_aIX, 202 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1795 |
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505 | 0 | _aIntroduction -- 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. | |
520 | _aThis 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. | ||
650 | 0 | _aAlgebra. | |
650 | 0 | _aAlgorithms. | |
650 | 1 | 4 |
_aAssociative Rings and Algebras. _0http://scigraph.springernature.com/things/product-market-codes/M11027 |
650 | 2 | 4 |
_aAlgorithms. _0http://scigraph.springernature.com/things/product-market-codes/M14018 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783540441960 |
776 | 0 | 8 |
_iPrinted edition: _z9783662196816 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1795 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/b84211 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c9296 _d9296 |