Algebra (English Version) (English Version)

Author: Isaac
Publisher:
Publish Date: 2003-05-01
Features: This book covers many topics in algebra, such as finite groups, ring theory, field theory, as well as an introduction to algebraic geometry and module theory. To accommodate teaching schedules, the content is organized into two parts: "Noncommutative Algebra" and "Commutative Algebra." The first part primarily focuses on the foundations of group theory and module theory, while the second part covers commutative algebra, field theory, and polynomials. For ease of learning, the author naturally introduces basic concepts and definitions, derives corresponding theorems based on these concepts, provides rigorous proofs, and includes numerous examples. At the end of each chapter, many exercises are provided. To meet the needs of different readers and teaching content, the book also includes optional sections, which offer opportunities for students who wish to delve into advanced topics and allow instructors to flexibly organize the material according to their teaching style. This book is a textbook for a graduate course on "Abstract Algebra."