A First Course in Noncommutative Rings
| Автор(ы): | Lam T. Y.
06.10.2007
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| Год изд.: | 1991 |
| Описание: | Однажды на экзамене по математической физике Крэг Хэк не сумел доказать, что собственные функции оператора Лапласа-Бельтрами на единичной сфере S1, отвечающие различным собственным значениям оператора, ортогональны относительно скалярного произведения в L2(S1). С тех пор про варваров рассказывают всякие гадости... Вот приблизительно об этом и эта книга. |
| Оглавление: |
Обложка книги.
§ 1. Basic terminology and examples [2] § 2. Semisimplicity [26] § 3. Structure of semisimple rings [31] Chapter 2. Jacobson Radical Theory [51] § 4. The Jacobson radical [53] § 5. Jacobson radical under change of rings [70] § 6. Group rings and the J-semisimplicity problem [82] Chapter 3. Introduction to Representation Theory [107] § 7. Modules over finite-dimensional algebras [108] § 8. Representations of groups [124] § 9. Linear groups [149] Chapter 4. Prime and Primitive Rings [163] § 10. The prime radical; prime and semiprime rings [164] § 11. Structure of primitive rings; the Density Theorem [182] § 12. Subdirect products and commutativity theorems [203] Chapter 5. Introduction to Division Rings [213] § 13. Division rings [214] § 14. Some classical constructions [227] § 15. Tensor products and maximal subfields [250] § 16. Polynomials over division rings [261] Chapter 6. Ordered Structures in Rings [275] § 17. Orderings and preorderings in rings [276] § 18. Ordered division rings [285] Chapter 7. Local Rings, Semilocal Rings, and Idempotents [293] § 19. Local rings [294] § 20. Semilocal rings [311] § 21. The theory of idempotents [318] § 22. Central idempotents and block decompositions [336] Chapter 8. Perfect and Semiperfect Rings [345] § 23. Perfect and semiperfect rings [346] § 24. Homological characterizations of perfect and semiperfect rings [358] § 25. Principal indecomposables and basic rings [370] References [381] Name Index [385] Subject Index [389] |
| Формат: | djvu |
| Размер: | 5372547 байт |
| Язык: | ENG |
| Рейтинг: |
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| Открыть: | Ссылка (RU) |