Title Statements
- Full title :A first course in noncommutative rings / T.Y. Lam
Edition Statements
- Publication Date:2001
- Edition:2. ed
Publication Statements
- Publisher(s):Springer
- Place of Publication:New York
- Language:eng
- Publication Date:2001
The Physical Object
- Description:xix, 385 s. ; : 25 cm
Edition Identifiers
- ISBN:0387953256, 9780387953250, 0387951830, 9780387951836
- oclc:ocn475149122
- LC Classification:QA251.4
- Dewey Decimal:512 .4
Table of Contents
Machine generated contents note: CHAPTER 1. Wedderburn-Artin Theory -- 1. Basic Terminology and Examples. Exercises for 1. 2. Semisimplicity. Exercises for 2. 3. Structure of Semisimple Rings. Exercises for 3 -- CHAPTER 2. Jacobson Radical Theory -- 4. The Jacobson Radical. Exercises for 4. 5. Jacobson Radical Under Change of Rings. Exercises for 5. 6. Group Rings and the J-Semisimplicity Problem. Exercises for 6 -- CHAPTER 3. Introduction to Representation Theory -- 7. Modules over Finite-Dimensional Algebras. Exercises for 7 -- 8. Representations of Groups. Exercises for 8. 9. Linear Groups. Exercises for 9 CHAPTER 4. Prime and Primitive Rings -- 10. The Prime Radical; Prime and Semiprime Rings. Exercises for 10. 11. Structure of Primitive Rings; the Density Theorem. Exercises for 11. 12. Subdirect Products and Commutativity Theorems. Exercises for 12 CHAPTER 5. Introduction to Division Rings -- 13. Division Rings. Exercises for 13. 14. Some Classical Constructions. Exercises for 14. 15. Tensor Products and Maximal Subfields. Exercises for 15. 16. Polynomials over Division Rings. Exercises for 16 CHAPTER 6. Ordered Structures in Rings -- 17. Orderings and Preorderings in Rings. …
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