Steps in commutative algebra/
Rodney Y. Sharp
- 2nd. ed.
- New York : Cambridge University Press, 2004.
- XII,355p. : 23cm.
- London Mathematical Society student texts,51. .
Contains bibliography. Includes index.
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; 16. Regular sequences and grade; 17. Cohen-Macaulay rings;