Steps in commutative algebra
R. Y. Sharp.
Cambridge : Cambridge University Press, 1990.
xi, 321 págs. ; 24 cm.
Serie: London Mathematical Society student texts ; 19
ISBN: 0521393388, 0521397324 (pbk.)
Incluye referencias bibliográficas (p. 311-312) e índice.
Reseña: MathSciNet, 91j:13001
Contenido
- 1. Commutative rings and subrings
- 2. Ideals
- 3. Prime ideals and maximal ideals
- 4. Primary decomposition
- 5. Rings of fractions
- 6. Modules
- 7. Chain conditions on modules
- 8. Commutative Noetherian rings
- 9. More module theory
- 10. Modules over principal ideal domains
- 11. Canonical forms for square matrices
- 12. Some applications to field theory
- 13. Integral dependence on subrings
- 14. Affine algebras over fields
- 15. Dimension theory.
