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100   $a20121227d2002      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aNoncommutative Gröbner Bases and Filtered-Graded Transfer /$fby Huishi Li
205   $a1st ed. 2002.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2002.
215   $a1 online resource (IX, 202 p.) 
225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1795
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-540-44196-4 
327   $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.
330   $aThis self-contained monograph is the first to feature the intersection of the structure theory of noncommutative associative algebras and the algorithmic aspect of Groebner basis theory. A double filtered-graded transfer of data in using noncommutative Groebner bases leads to effective exploitation of the solutions to several structural-computational problems, e.g., an algorithmic recognition of quadric solvable polynomial algebras, computation of GK-dimension and multiplicity for modules, and elimination of variables in noncommutative setting. All topics included deal with algebras of (q-)differential operators as well as some other operator algebras, enveloping algebras of Lie algebras, typical quantum algebras, and many of their deformations.
410  0$aLecture Notes in Mathematics,$x0075-8434 ;$v1795
606   $aAssociative rings
606   $aRings (Algebra)
606   $aAlgorithms
606   $aAssociative Rings and Algebras$3https://scigraph.springernature.com/ontologies/product-market-codes/M11027
606   $aAlgorithms$3https://scigraph.springernature.com/ontologies/product-market-codes/M14018
615  0$aAssociative rings.
615  0$aRings (Algebra).
615  0$aAlgorithms.
615 14$aAssociative Rings and Algebras.
615 24$aAlgorithms.
676   $a512.4
700   $aLi$b Huishi$4aut$4http://id.loc.gov/vocabulary/relators/aut$056176
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910144940903321
996   $aNoncommutative Gröbner bases and filtered-graded transfer$9262265
997   $aUNINA