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).

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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.
ISBN
  • 0-429-06477-2
  • 1-4398-6372-5
OCLC
845709883
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