Complexes, homology functors, and derived functors including Ext and Tor. Chapter C-4: More Categories Extends the category theory introduced in Part 1:
For more details on where to obtain this volume, you can check the AMS Bookstore or Google Books . Advanced Modern Algebra: Third Edition, Part 2 Advanced Modern Algebra: Third Edition, Part 2 ...
Characterization and finitely generated modules over Dedekind rings. Cohomology of groups, crossed products, and an introduction
Cohomology of groups, crossed products, and an introduction to spectral sequences. K-Theory: Specifically focusing on the functors K0cap K
Introduces homological algebra and its applications to groups:
Fundamental structures for homological algebra. Sheaves: An introduction to sheaves and sheaf cohomology. K-Theory: Specifically focusing on the functors K0cap K sub 0 G0cap G sub 0 Chapter C-5: Commutative Rings III Advanced topics in commutative algebra:
Artinian and Noetherian rings, Jacobson radicals, and Wedderburn-Artin theorems.