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001 | | | vtls000001975 |
003 | | | IISER-K |
005 | | | 20140514130500.0 |
008 | | | 080109s2001 nyu b 001 0 eng |
020 | | | \a 0387951830 (alk. paper) |
020 | | | \a 0387953256 |
039 | | 9 | \a 201405141305 \b VLOAD \c 201405011619 \d VLOAD \c 200807031550 \d staff \c 200806181706 \d staff \y 200801091306 \z staff |
082 | 0 | 0 | \a 512.4 \b LAP1 |
100 | 1 | | \a Lam, T. Y. \q (Tsit-Yuen), \d 1942- |
245 | 1 | 2 | \a A first course in noncommutative rings / \c T.Y. Lam. |
250 | | | \a 2nd ed. |
260 | | | \a New York : \b Springer, \c c2001. |
300 | | | \a xix, 385 p. ; \c 25 cm. |
440 | | 0 | \a Graduate texts in mathematics ; \v 131 |
504 | | | \a Includes bibliographical references (p. 370-371) and index. |
505 | 8 | | \a 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. |
650 | | 0 | \a Noncommutative rings. |
856 | 4 | 1 | \3 Table of contents \u http://www.loc.gov/catdir/toc/fy031/00052277.html |
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