Exercises in Modules and Rings

"Exercises in Modules and Rings" is a comprehensive textbook designed as a problem and reference work for students and professionals in mathematics. It provides complete solutions to the exercises from the preceding work "Lectures on Modules and Rings" and covers the essential aspects of module and ring theory. The content is structured to serve both as supplementary material for lectures and as an independent source of information. The first half of the book addresses important concepts such as projective, injective, and flat modules, as well as homological dimensions. The second half focuses on more complex topics like noncommutative localizations and Goldie's theorems. With 414 pages, this hardcover book offers a solid foundation for understanding module and ring theory.