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Computational Aspects of Polynomial Identities
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Volume L, Kemer's Theorems, 2nd Edition
Besorgungstitel - wird vorgemerkt | Lieferzeit: Besorgungstitel - Lieferbar innerhalb von 10 Werktagen I
Artikel-Nr:
9781498720083
Veröffentl:
2015
Erscheinungsdatum:
23.10.2015
Seiten:
418
Autor:
Alexei Kanel-Belov
Gewicht:
771 g
Format:
236x160x28 mm
Sprache:
Englisch
Beschreibung:
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.
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
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.