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

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 ...

Characterization and finitely generated modules over Dedekind rings. Part 2 of Joseph J

Presentations, the Nielsen-Schreier theorem, and the Kurosh theorem. Chapter C-2: Representation Theory the Nielsen-Schreier theorem

Focuses on the theory of modules and group representations, primarily in the semisimple case: