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This edition presents the underlying ideas in recent polynomial identity (PI)-theory and demonstrates the validity of the proofs of PI-theorems. It gives all the details involved in Kemer's proof of Specht's conjecture for affine PI-algebras in characteristic 0. This edition presents a tighter formulation of Zubrilin's theory and contains a more direct proof of the Wehrfritz-Beidar theorem. It also adds more details to the proof of Kemer's difficult PI-representability theorem and develops several newer techniques, such as the "pumping procedure."

Produktbeschreibung
This edition presents the underlying ideas in recent polynomial identity (PI)-theory and demonstrates the validity of the proofs of PI-theorems. It gives all the details involved in Kemer's proof of Specht's conjecture for affine PI-algebras in characteristic 0. This edition presents a tighter formulation of Zubrilin's theory and contains a more direct proof of the Wehrfritz-Beidar theorem. It also adds more details to the proof of Kemer's difficult PI-representability theorem and develops several newer techniques, such as the "pumping procedure."

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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.