Polynomial Identities in Ring Theory

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Page iii

Copyright Page
Page iv

Dedication
Page v

Preface
Pages xiii-xvii

Prerequisites
Pages xix-xx

Chapter 1 The Structure of PI-Rings
Pages 1-108

Chapter 2 The General Theory of Identities, and Related Theories
Pages 109-150

Chapter 3 Central Simple Algebras
Pages 151-201

Chapter 4 Extensions of PI-Rings
Pages 202-223

Chapter 5 Noetherian PI-Rings
Pages 224-238

Chapter 6 The Theory of The Free Ring, Applied to Polynomial Identities
Pages 239-253

Chapter 7 The Theory of Generalized Identities
Pages 254-288

Chapter 8 Rational Identities, Generalized Rational Identities, and Their Applications
Pages 289-313

Appendix A Central Polynomials of Formanek
Pages 315-319

Appendix B The Theory of ∀∃ Elementary Conditions on Rings
Pages 320-326

Appendix C Nonassociative PI-Theory
Pages 327-338

Postscript Some Aspects of the History
Pages 339-340

Bibliography
Pages 341-354

Major Theorems Concerning Identities
Pages 355-357

Major Counterexamples
Page 358

List of Principal Notation
Page 359

Index
Pages 361-365

Pure and Applied Mathematics: A Series of Monographs and Textbooks
Page 366
Samuel Eilenberg, Hyman Bass