LEADER 03570nam 22006495 450 001 996466618403316 005 20200704164246.0 010 $a3-540-45765-8 024 7 $a10.1007/b84211 035 $a(CKB)1000000000233285 035 $a(SSID)ssj0000325197 035 $a(PQKBManifestationID)11254093 035 $a(PQKBTitleCode)TC0000325197 035 $a(PQKBWorkID)10320530 035 $a(PQKB)11054626 035 $a(DE-He213)978-3-540-45765-7 035 $a(MiAaPQ)EBC6303068 035 $a(MiAaPQ)EBC5591446 035 $a(Au-PeEL)EBL5591446 035 $a(OCoLC)1066192407 035 $a(PPN)155214691 035 $a(EXLCZ)991000000000233285 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$b[electronic resource] /$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 $a996466618403316 996 $aNoncommutative Gröbner bases and filtered-graded transfer$9262265 997 $aUNISA LEADER 01187nam 2200337 a 450 001 9910701902703321 005 20120806142352.0 035 $a(CKB)5470000002423096 035 $a(OCoLC)804879764 035 $a(EXLCZ)995470000002423096 100 $a20120806d2012 ua 0 101 0 $aeng 135 $aurmn||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aIndigent defense$b[electronic resource] $esurveys of grant recipients, select tribes, and indigent defense providers (GAO-12-661SP, May 2012), an e-supplement to GAO-12-569 210 1$a[Washington, D.C.] :$cU.S. Govt. Accountability Office,$d[2012] 215 $a1 online resource 300 $aTitle from title screen (viewed July 19, 2012). 300 $a"May 30, 2012"--List of GAO reports. 300 $a"GAO-12-661SP." 517 $aIndigent defense 606 $aLegal assistance to the poor$zUnited States$xFinance$vExaminations, questions, etc 615 0$aLegal assistance to the poor$xFinance 801 0$bGPO 801 1$bGPO 906 $aBOOK 912 $a9910701902703321 996 $aIndigent defense$93273350 997 $aUNINA