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Prefaces to the 1st and 2nd editions 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 Bibliography Index.