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You searched IISERK - Subject: Measure theory.
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Call Number
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512.4 LAP1
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Author
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Lam, T. Y. (Tsit-Yuen), 1942-
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Title
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A first course in noncommutative rings / T.Y. Lam.
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Publication
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New York : Springer, c2001.
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Material Info.
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xix, 385 p. ; 25 cm.
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Series
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Graduate texts in mathematics ; 131
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Notes
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Includes bibliographical references (p. 370-371) and index.
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Notes
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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 -- Exercises for 17 -- 18. Ordered Division Rings -- Exercises for 18 CHAPTER 7 -- Local Rings, Semilocal Rings, and Idempotents --19. Local Rings -- Exercises for 19 -- 20. Semilocal Rings -- Appendix: Endomorphism Rings of Uniserial Modules -- Exercises for 20 -- 21. Th Theory of Idempotents -- Exercises for 21 -- 22. Central Idempotents and Block Decompositions -- Exercises for 22 -- CHAPTER 8 -- Perfect and Semiperfect Rings --23. Perfect and Semiperfect Rings -- Exercises for 23 -- 24. Homological Characterizations of Perfect and Semiperfect Rings -- Exercises for 24 -- 25. Principal Indecomposables and Basic Rings -- Exercises for 25.
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ISBN
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0387951830 (alk. paper)
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ISBN
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0387953256
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Subject
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Noncommutative rings.
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Date
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Year, Month, Day:01405141
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