Computational Aspects of Polynomial Identities

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.

List of contents

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

About the author

Kanel-Belov, Alexei; Rowen, Louis Halle

Summary

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.

Product details

• Authors: Alexei Kanel-Belov, Alexei (Bar-Ilan University Kanel-Belov, Alexei Rowen Kanel-Belov, Louis Halle Rowen
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Paperback / Softback
• Released: 31.12.2019
• EAN: 9780367446505
• ISBN: 978-0-367-44650-5
• No. of pages: 400
• Subject: Natural sciences, medicine, IT, technology > Mathematics > General, dictionaries