Alexei Kanel-Belov, Louis Halle Rowen

Computational Aspects of Polynomial Identities (eBook, PDF)

• Format: PDF

Produktbeschreibung

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. T

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 400
• Erscheinungstermin: 22. Februar 2005
• Englisch
• ISBN-13: 9781439863725
• Artikelnr.: 57895996

Autorenporträt

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.

Inhaltsangabe

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. Poincaré
Hilbert Series and Gelfand
Kirillov Dimension. More Representation Theory. Supplementary Material: List of Theorems. Some Open Questions. Bibliography.