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Computational aspects of polynomial identities / by Alexei Kanel-Belov and Louis Halle Rowen.
Eauthor
Kanel-Belov, Alexei
[Browse]
Format
Book
Language
English
Εdition
First edition.
Published/Created
Boca Raton, FL : A K Peters/CRC Press, an imprint of Taylor and Francis, 2005.
Description
1 online resource (401 pages).
Availability
Available Online
SCI-TECHnetBASE
Taylor & Francis eBooks Complete
Details
Subject(s)
PI-algebras
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Polynomial rings
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Combinatorial analysis
[Browse]
Author
Rowen, Louis Halle
[Browse]
Series
Research notes in mathematics ; Volume 9.
[More in this series]
Research Notes in Mathematics ; Volume 9
Summary note
A comprehensive study of the main research done in polynomial identities over the last 25 years, including Kemer's solution to the Specht problem in characteristic O and examples in the characteristic p situation. The authors also cover codimension theory, starting with Regev's theorem and continuing through the Giambruno-Zaicev exponential rank. The "best" proofs of classical results, such as the existence of central polynomials, the tensor product theorem, the nilpotence of the radical of an affine PI-algebra, Shirshov's theorem, and characterization of group algebras with PI, are presented.
Source of description
Description based on print version record.
Contents
chapter 1 Basic Results
chapter 2 Affine Pl-algebras
chapter 3 T-ldeals and Relatively Free Algebras
chapter 4 Specht's Problem in the Affine Case
chapter 5 Representations of Sn and Their Applications
chapter 6 Superidentities and Kemer's Main Theorem
chapter 7 Pl-Algebras in Characteristic p
chapter 8 Recent Structural Results
chapter 9 Poincare-Hilbert Series and Gelfand-Kirillov Dimension
chapter 10 More Representation Theory
chapter 11 Unified Theory of Identities
chapter 12 Trace Identities
chapter 13 Exercises
chapter 14 Lists of Theorems and Examples
chapter 15 Some Open Questions.
Show 12 more Contents items
ISBN
0-429-06477-2
1-4398-6372-5
OCLC
845709883
Statement on language in description
Princeton University Library aims to describe library materials in a manner that is respectful to the individuals and communities who create, use, and are represented in the collections we manage.
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Computational aspects of polynomial identities / Alexei Kanel-Belov, Louis Halle Rowen.
id
SCSB-8742559