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| Softcover ISBN: | 978-1-4704-5605-4 |
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| MAA Member Price: | $86.25 $67.50 |
| AMS Member Price: | $86.25 $67.50 |
| Softcover ISBN: | 978-1-4704-5605-4 |
| Product Code: | CAR/15 |
| List Price: | $65.00 |
| MAA Member Price: | $48.75 |
| AMS Member Price: | $48.75 |
| eBook ISBN: | 978-1-61444-015-4 |
| Product Code: | CAR/15.E |
| List Price: | $50.00 |
| MAA Member Price: | $37.50 |
| AMS Member Price: | $37.50 |
| Softcover ISBN: | 978-1-4704-5605-4 |
| eBook ISBN: | 978-1-61444-015-4 |
| Product Code: | CAR/15.B |
| List Price: | $115.00 $90.00 |
| MAA Member Price: | $86.25 $67.50 |
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Book DetailsThe Carus Mathematical MonographsVolume: 15; 1994; 202 pp
Noncommutative Rings provides a cross-section of ideas, techniques, and results that give the reader an idea of that part of algebra which concerns itself with noncommutative rings. In the space of 200 pages, Herstein covers the Jacobson radical, semisimple rings, commutativity theorems, simple algebras, representations of finite groups, polynomial identities, Goldie's theorem, and the Golod–Shafarevitch theorem. Almost every practicing ring theorist has studied portions of this classic monograph.
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Table of Contents
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Chapters
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Chapter 1. The Jacobson radical
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Chapter 2. Semisimple rings
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Chapter 3. Commutativity theorems
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Chapter 4. Simple algebras
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Chapter 5. Representations of finite groups
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Chapter 6. Polynomial identities
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Chapter 7. Goldie’s theorem
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Chapter 8. The Golod-Shafarevitch theorem
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Additional Material
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Reviews
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Herstein's book is a guided tour through a gallery of masterpieces. The author's style is always elegant and his proofs always enlightening ... I had a lot of pleasure when I first read this book while I was an undergraduate student attending to a course given by C. Procesi at the University of Rome. Today, I appreciate even more the author's mastery and real gift for exposition.
Fabio Mainardi, MAA Reviews
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Reviews
- Requests
Noncommutative Rings provides a cross-section of ideas, techniques, and results that give the reader an idea of that part of algebra which concerns itself with noncommutative rings. In the space of 200 pages, Herstein covers the Jacobson radical, semisimple rings, commutativity theorems, simple algebras, representations of finite groups, polynomial identities, Goldie's theorem, and the Golod–Shafarevitch theorem. Almost every practicing ring theorist has studied portions of this classic monograph.
-
Chapters
-
Chapter 1. The Jacobson radical
-
Chapter 2. Semisimple rings
-
Chapter 3. Commutativity theorems
-
Chapter 4. Simple algebras
-
Chapter 5. Representations of finite groups
-
Chapter 6. Polynomial identities
-
Chapter 7. Goldie’s theorem
-
Chapter 8. The Golod-Shafarevitch theorem
-
Herstein's book is a guided tour through a gallery of masterpieces. The author's style is always elegant and his proofs always enlightening ... I had a lot of pleasure when I first read this book while I was an undergraduate student attending to a course given by C. Procesi at the University of Rome. Today, I appreciate even more the author's mastery and real gift for exposition.
Fabio Mainardi, MAA Reviews
