Noncommutative Gröbner Bases and Filtered-Graded Transfer

Häftad, Engelska, 2002

Del 1795 i serien Lecture Notes in Mathematics

501 kr

Beställningsvara. Skickas inom 10-15 vardagar. Fri frakt över 249 kr.

Beskrivning

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.

Produktinformation

Utgivningsdatum:2002-10-23
Mått:155 x 235 x 12 mm
Vikt:335 g
Format:Häftad
Språk:Engelska
Serie:Lecture Notes in Mathematics
Antal sidor:202
Upplaga:2002
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783540441960

Utforska kategorier

Grupper och gruppteori inom Naturvetenskap och teknik

Recensioner i media

From the reviews: MATHEMATICAL REVIEWS "The monograph covers an important area of research, and the material included may be helpful for researchers and graduate students interested in developing and using Grobner bases in solutions to various mathematical problems. References to many existing computer algebra systems enable the readers to verify methods introduced in this book with the help of computers."

Innehållsförteckning

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.

Mer från samma författare

Primer of Algebraic Geometry

Huishi Li, Freddy Van Oystaeyen

Häftad, 2019

1 054 kr

Primer of Algebraic Geometry

Huishi Li, Freddy Van Oystaeyen

Inbunden, 2000

2 100 kr

Noncommutative Polynomial Algebras of Solvable Type and Their Modules

Huishi Li

E-bok

2021

2 998 kr

Noncommutative Polynomial Algebras of Solvable Type and Their Modules

Huishi Li

E-bok

2021

2 998 kr

Noncommutative Polynomial Algebras of Solvable Type and Their Modules

Huishi Li

Inbunden, 2021

2 703 kr

Primer of Algebraic Geometry

Freddy Van Oystaeyen, Huishi Li

E-bok

2017

1 237 kr

Primer of Algebraic Geometry

Freddy Van Oystaeyen, Huishi Li

E-bok

2017

1 237 kr

Noncommutative Grobner Bases and Filtered-Graded Transfer

Huishi Li

E-bok

2004

654 kr

GROBNER BASES IN RING THEORY

Huishi Li

Inbunden, 2011

1 451 kr

INTRODUCTION TO COMMUTATIVE ALGEBRA, AN: FROM THE VIEWPOINT OF NORMALIZATION

Huishi Li

Inbunden, 2004

1 150 kr

Mer från samma serie

Del 1144

Knot Theory and Manifolds

Dale Rolfsen

Häftad, 1985

281 kr

Del 620

Moduli Theory and Classification Theory of Algebraic Varieties

H. Popp

Häftad, 1977

315 kr

Del 1788

Moduli of Families of Curves for Conformal and Quasiconformal Mappings

Alexander Vasil'ev

Häftad, 2002

501 kr

From Hahn-Banach to Monotonicity

Stephen Simons

Häftad, 2008

557 kr

Del 2070

Probabilistic Group Theory, Combinatorics, and Computing

Alla Detinko, Dane Flannery, Eamonn O'Brien

Häftad, 2013

391 kr

Del 2191

Leavitt Path Algebras

Gene Abrams, Pere Ara, Mercedes Siles Molina

Häftad, 2017

666 kr

Index and Other Useful Information

A. Dold, B. Eckmann

Häftad, 2013

557 kr

Del 1965

Geometric Properties of Banach Spaces and Nonlinear Iterations

Charles Chidume

Häftad, 2009

557 kr

Del 2229

Spectral Theory for Simply Periodic Solutions of the Sinh-Gordon Equation

Sebastian Klein

Häftad, 2018

447 kr

Del 2228

Zeta Integrals, Schwartz Spaces and Local Functional Equations

Wen-Wei Li

Häftad, 2018

502 kr

Du kanske också är intresserad av

Nyhet

L’amour toujours : Berättelsen om Tidö

Maggie Strömberg, Torbjörn Nilsson

Inbunden, 2026

275 kr

Del 1795

E-Business and Telecommunications

Pierangela Samarati, Marten van Sinderen, Sabrina De Capitani di Vimercati, Fons Wijnhoven

Häftad, 2023

941 kr

Del 1795

Bord Und Borte

Renate Niedballa

Häftad, 2001

994 kr

Del 1795

Arendt und Benjamin

Detlev Schöttker, Erdmut Wizisla

Häftad, 2006

204 kr

Del 1795

Data Science and Applications

Satyasai Jagannath Nanda, Rajendra Prasad Yadav, Mukesh Prasad, Mukesh Saraswat

Häftad, 2026

2 837 kr

Primer of Algebraic Geometry

Freddy Van Oystaeyen, Huishi Li

E-bok

2017

1 237 kr

INTRODUCTION TO COMMUTATIVE ALGEBRA, AN: FROM THE VIEWPOINT OF NORMALIZATION

Huishi Li

Inbunden, 2004

1 150 kr

Primer of Algebraic Geometry

Huishi Li, Freddy Van Oystaeyen

Inbunden, 2000

2 100 kr

Primer of Algebraic Geometry

Huishi Li, Freddy Van Oystaeyen

Häftad, 2019

1 054 kr

Noncommutative Polynomial Algebras of Solvable Type and Their Modules

Huishi Li

E-bok

2021

2 998 kr

Noncommutative Gröbner Bases and Filtered-Graded Transfer

AvHuishi Li

Häftad, Engelska, 2002

Del 1795 i serien Lecture Notes in Mathematics

501 kr

Beställningsvara. Skickas inom 10-15 vardagar. Fri frakt över 249 kr.

Beskrivning

Produktinformation

Utgivningsdatum:2002-10-23
Mått:155 x 235 x 12 mm
Vikt:335 g
Format:Häftad
Språk:Engelska
Serie:Lecture Notes in Mathematics
Antal sidor:202
Upplaga:2002
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783540441960

Utforska kategorier

Grupper och gruppteori inom Naturvetenskap och teknik

Recensioner i media

Innehållsförteckning

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.