About the Book: This comprehensive two-volume set on algebra is designed for graduate-level study. Volume 1 (Chapters 1–6) covers material suitable for a first-year graduate algebra course and includes essential topics to prepare for qualifying exams in most American and European universities. Volume 2 (Chapters 7–13) is intended for a second-year course, offering a broad range of advanced topics in algebra. A chart is provided to show the interdependence of chapters, helping instructors design courses and guiding students through the material systematically.