This is the second volume of the Belov/Karasik/Rowen/Vishne book on the Computational Aspects of Polynomial Idenities . This volume will begin with the characteristic p version of Specht's conjecture for affine PI-algebras. The remainder of volume II is concerend with related versions of specht's conjecture including algebras with involution and non associative algebras including altrernative algebras, Jordan algebras and Lie algebras.
This is the second volume of the Belov/Karasik/Rowen/Vishne book on the Computational Aspects of Polynomial Idenities . This volume will begin with the characteristic p version of Specht's conjecture for affine PI-algebras. The remainder of volume II is concerend with related versions of specht's conjecture including algebras with involution and non associative algebras including altrernative algebras, Jordan algebras and Lie algebras.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
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.
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.
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