Advanced Modern Algebra: Third Edition, Part 2 ... -

Complexes, homology functors, and derived functors including Ext and Tor. Chapter C-4: More Categories Extends the category theory introduced in Part 1:

Hilbert's syzygy theorem and regular local rings. Advanced Modern Algebra: Third Edition, Part 2 ...

Introduces homological algebra and its applications to groups: the Nielsen-Schreier theorem

Focuses on the theory of modules and group representations, primarily in the semisimple case: Advanced Modern Algebra: Third Edition, Part 2 ...

Semidirect products and general group extensions.

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

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