Sharp,Rodney Y.

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;

0521646235 9780521646239


Commutative algebra.

512.24 / SHA/S