An introduction to noncommutative Noetherian rings / K. R. Goodearl, R. B. Warfield, Jr.
Series London Mathematical Society student texts ; 16Editor: Cambridge [England] ; New York : Cambridge University Press, 1989Descripción: xvii, 303 p. ; 24 cmISBN: 0521360862; 0521369258 (pbk.)Tema(s): Noetherian rings | Noncommutative ringsOtra clasificación: 16-02 (16P40) Recursos en línea: Publisher description1. A few Noetherian rings2. Prime ideals3. Semisimple modules, Artinian modules, and nonsingular modules4. Injective hulls5. Semisimple rings of fractions6. Modules over semiprime Goldie rings7. Bimodules and affiliated prime ideals8. Fully bounded rings9. Rings of fractions10. Artinian quotient rings11. Links between prime ideals12. Rings satisfying the second layer condition13. Krull dimension14. Numbers of generators of modules15. Transcendental division algebras.
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Instituto de Matemática, CONICET-UNS | Libros ordenados por tema | 16 G647 (Browse shelf) | Available | A-6830 |
Browsing Instituto de Matemática, CONICET-UNS shelves, Shelving location: Libros ordenados por tema Close shelf browser
| 16 F498 Finite dimensional algebras and related topics / | 16 G338a Anillo de polinomios / | 16 G617 Localization of noncommutative rings / | 16 G647 An introduction to noncommutative Noetherian rings / | 16 H572c Certain aspects of rings with involution / | 16 H572n Noncommutative rings / | 16 H572r Rings with involution / |
Incluye referencias bibliográficas (p. [291]-298) e índice.
1. A few Noetherian rings -- 2. Prime ideals -- 3. Semisimple modules, Artinian modules, and nonsingular modules -- 4. Injective hulls -- 5. Semisimple rings of fractions -- 6. Modules over semiprime Goldie rings -- 7. Bimodules and affiliated prime ideals -- 8. Fully bounded rings -- 9. Rings of fractions -- 10. Artinian quotient rings -- 11. Links between prime ideals -- 12. Rings satisfying the second layer condition -- 13. Krull dimension -- 14. Numbers of generators of modules -- 15. Transcendental division algebras.
MR, 91c:16001
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