TY - BOOK AU - Sharp,Rodney Y. TI - Steps in commutative algebra SN - 0521646235 U1 - 512.24 PY - 2004/// CY - New York PB - Cambridge University Press KW - Commutative algebra N1 - 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 ER -