Introduces homological algebra and its applications to groups:
Complexes, homology functors, and derived functors including Ext and Tor. Chapter C-4: More Categories Extends the category theory introduced in Part 1: Advanced Modern Algebra: Third Edition, Part 2 ...
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: Advanced Modern Algebra: Third Edition, Part 2 ...
Part 2 of Joseph J. Rotman's (Graduate Studies in Mathematics, Volume 180) focuses on advanced graduate-level topics, building on the foundational concepts introduced in Part 1. The book is organized into five primary chapters: Chapter C-1: More Groups Advanced Modern Algebra: Third Edition, Part 2 ...