An introduction to noncommutative Noetherian rings
K. R. Goodearl, R. B. Warfield, Jr.
Cambridge [England] ; New York : Cambridge University Press, 1989.
xvii, 303 págs. ; 24 cm.
Serie: London Mathematical Society student texts ; 16
ISBN: 0521360862, 0521369258 (pbk.)
Incluye referencias bibliográficas (p. [291]-298) e índice.
Reseña: MathSciNet, 91c:16001
Contenido
- 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.
