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[null,"1.","Record Nr.",null,"UNISA996466618403316"]
[null,null,"Autore",null,"Li Huishi"]
[null,null,"Titolo",null,"Noncommutative Gröbner Bases and Filtered-Graded Transfer [[electronic resource] /] / by Huishi Li"]
[null,null,"Pubbl/distr/stampa",null,"Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2002"]
[null,null,"ISBN",null,"3-540-45765-8"]
[null,null,"Edizione",null,"[1st ed. 2002.]"]
[null,null,"Descrizione fisica",null,"1 online resource (IX, 202 p.)"]
[null,null,"Collana",null,"Lecture Notes in Mathematics, , 0075-8434 ; ; 1795"]
[null,null,"Disciplina",null,"512.4"]
[null,null,"Soggetti",null,"Associative rings"]
[{"$nulls":4},"Rings (Algebra)"]
[{"$nulls":4},"Algorithms"]
[{"$nulls":4},"Associative Rings and Algebras"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Bibliographic Level Mode of Issuance: Monograph"]
[null,null,"Nota di contenuto",null,"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."]
[null,null,null,"Sommario/riassunto","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."]