viii Contents 9.5. Derived Functors 796 9.5.1. Left Derived Functors 797 9.5.2. Right Derived Covariant Functors 808 9.5.3. Right Derived Contravariant Functors 811 9.6. Ext 815 9.7. Tor 825 9.8. Cohomology of Groups 831 9.9. Crossed Products 848 9.10. Introduction to Spectral Sequences 854 9.11. Grothendieck Groups 858 9.11.1. The Functor K0 858 9.11.2. The Functor G0 862 Chapter 10. Commutative Rings III 873 10.1. Local and Global 873 10.1.1. Subgroups of Q 873 10.2. Localization 881 10.3. Dedekind Rings 899 10.3.1. Integrality 900 10.3.2. Nullstellensatz Redux 908 10.3.3. Algebraic Integers 915 10.3.4. Characterizations of Dedekind Rings 927 10.3.5. Finitely Generated Modules over Dedekind Rings 937 10.4. Homological Dimensions 945 10.5. Hilbert’s Theorem on Syzygies 956 10.6. Commutative Noetherian Rings 961 10.7. Regular Local Rings 969 Bibliography 985 Index 991
Previous Page Next Page