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Introduction to Abstract Algebra 2022

1. Preface

2. Contents

3. Notations

4. Chapter 1. Groups and Generating Sets

5. Chapter 2. Permutation Groups and Alternating Groups

6. Chapter 3. Finitely Generated Abelian Groups and Quotient Groups

7. Chapter 4. Rings, Quotient Rings and Ideal Theory

8. Chapter 5. Unique Factorization Domains

9. Chapter 6. Extension Fields

10. Appendix A. Equivalence Relations and Quotient Set

11. Appendix B. Zorn's Lemma

12. Appendix C. Quotient field

13. Reference

14. Index