Computational Aspects of Polynomial Identities: Volume l, Kemer's Theorems, 2nd Edition, 2nd Edition (e-Book) book cover

Computational Aspects of Polynomial Identities

Volume l, Kemer's Theorems, 2nd Edition, 2nd Edition

By Alexei Kanel-Belov, Yakov Karasik, Louis Halle Rowen

Chapman and Hall/CRC

444 pages

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Description

Computational Aspects of Polynomial Identities: Volume l, Kemer's Theorems, 2nd Edition presents the underlying ideas in recent polynomial identity (PI)-theory and demonstrates the validity of the proofs of PI-theorems. This edition gives all the details involved in Kemer's proof of Specht's conjecture for affine PI-algebras in characteristic 0.The

Table of Contents

Basic Associative PI-Theory: Basic Results. A Few Words Concerning Affine PI-Algebras: Shirshov's Theorem. Representations of Sn and Their Applications. Affine PI-Algebras: The Braun-Kemer-Razmyslov Theorem. Kemer's Capelli Theorem. Specht's Conjecture: Specht's Problem and Its Solution in the Affine Case (Characteristic 0). Superidentities and Kemer's Solution for Non-Affine Algebras. Trace Identities. PI-Counterexamples in Characteristic p. Other Results for Associative PI-Algebras: Recent Structural Results. Poincare-Hilbert Series and Gelfand-Kirillov Dimension. More Representation Theory. Supplementary Material: List of Theorems. Some Open Questions. Bibliography.

About the Authors

Alexei Kanel-Belov is a professor in the Department of Mathematics at Bar-Ilan University. His research interests include ring theory, semigroup theory, polynomial automorphisms, quantization, symbolical dynamic combinatorial geometry and its mechanical applications, elementary mathematics, and mathematical education.

Yakov Karasik completed his doctorate at the Department of Mathematics at Technion - Israel Institute of Technology.

Louis Halle Rowen is a professor in the Department of Mathematics at Bar-Ilan University. His research interests include noncommutative algebra, finite dimensional division algebras, the structure theory of rings, and tropical algebras.

Subject Categories

BISAC Subject Codes/Headings:
MAT000000
MATHEMATICS / General
MAT002000
MATHEMATICS / Algebra / General