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Computational Aspects of Polynomial Identities - Alexei Kanel-Belov, Louis Halle Rowen

Computational Aspects of Polynomial Identities

Buch | Softcover
400 Seiten
2019
CRC Press (Verlag)
978-0-367-44650-5 (ISBN)
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This book introduces polynomial identity (PI)-algebras and reviews some well-known results and techniques, most of which are associated with the structure theory. It presents a full proof of Kemer's solution to Specht's conjecture.
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. The "best" proofs of classical results, such as the existence of central polynomials, the tensor product theorem, the nilpotence of the radical of an affine PI-algebra, Shirshov's theorem, and characterization of group algebras with PI, are presented.

Kanel-Belov, Alexei; Rowen, Louis Halle

1. Basic Results 2. Affine Pl-algebras 3. T-ldeals and Relatively Free Algebras 4. Specht's Problem in the Affine Case 5. Representations of Sn and Their Applications 6. Superidentities and Kemer's Main Theorem 7. Pi-Algebras in Characteristic p 8. Recent Structural Results 9. Poincare-Hilbert Series and Gelfand-Kirillov Dimension 10. More Representation Theory 11. Unified Theory of Identities 12. Trace Identities 13. Exercises 14. Lists of Theorems and Examples 15. Some Open Questions

Erscheinungsdatum
Verlagsort London
Sprache englisch
Maße 152 x 229 mm
Gewicht 453 g
Themenwelt Mathematik / Informatik Mathematik Algebra
ISBN-10 0-367-44650-2 / 0367446502
ISBN-13 978-0-367-44650-5 / 9780367446505
Zustand Neuware
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