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

Structural analysis of these group types. Projective Groups: Simplicity of and projective unimodular groups.

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

Characterization and finitely generated modules over Dedekind rings. Advanced Modern Algebra: Third Edition, Part 2 ...

Local-global principles and localization of rings.

Focuses on the theory of modules and group representations, primarily in the semisimple case: Structural analysis of these group types

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

Cohomology of groups, crossed products, and an introduction to spectral sequences. primarily in the semisimple case: Presentations

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