Local-global principles and localization of rings.
Hilbert's syzygy theorem and regular local rings. Advanced Modern Algebra: Third Edition, Part 2 ...
Introduces homological algebra and its applications to groups: Local-global principles and localization of rings
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 primarily in the semisimple case:
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
Focuses on the theory of modules and group representations, primarily in the semisimple case: