Rings with involution

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Herstein's theory of rings with involution

Author(s): I.N. Herstein
Series: Chicago Lectures in Mathematics 12
Edition: First
Publisher: University of Chicago Press
Year: 1976

Language: English
Commentary: Fixed version, with one page per page and OCR
Pages: 256
City: Chicago and London

Preface
Chapter 1. RING-THEORETIC PRELIMINARIES
1. Some formal results
2. Primitive rings with minimal one-sided ideals
3. Generalized polynomial identities
4. Central polynomials
5. The Amitsur-Levitzki theorem
6. Centralizers
Bibliography
CHAPTER 2. REGULARITY CONDITIONS ON SKEW AND SYMMETRIC ELEMENTS
1. Osborn's theorem
2. Positive-definiteness theorems
3. A Skew version of Osborn's theorem
4. Regular skew elements
5. Some theorems of Montgomery
Bibliography
CHAPTER 3. COMMUTATIVITY THEOREMS
1. Division Rings
2. More on Division Rings
3. Rings with periodic skew or symmetric elements
4. Generalizations and a theorem of Lee
Bibliography
CHAPTER 4. MAPPING THEOREMS
1. Some results of Lynne Small
2. Theorems of Martindale
Bibliography
CHAPTER 5. POLYNOMIAL IDENTITIES
Bibliography
CHAPTER 6. POTPOURRI
1. A unitary version of the Brauer-Cartan-Hua theorem
2. *-radicality in division rings
3. K-invariant subrings
4. Another dichotomy theorem
5. Relations between R and S' or K'
6. Finite generation
Bibliography