Computational Aspects of Polynomial Identities
Volume l, Kemer's Theorems, 2nd Edition
2. Auflage
Erschienen am 22. Oktober 2015
444 Seiten
978-1-4987-2009-0 (ISBN)
Beschreibung
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
Weitere Details
Auflage
2nd edition
Sprache
Englisch
Verlagsort
Philadelphia, PA
USA
Verlagsgruppe
Taylor & Francis Inc
Zielgruppe
Für Beruf und Forschung
Editions-Typ
Überarbeitete Ausgabe
Dateigröße
2,97 MB
ISBN-13
978-1-4987-2009-0 (9781498720090)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Weitere Ausgaben
Personen
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.
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.
Inhalt
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.
