Considered a classic by many, A First Course in Abstract Algebra is an in-depth introduction to abstract algebra. Focused on groups, rings and fields, this text gives students a firm foundation for more specialized work by emphasizing an understanding of the nature of algebraic structures.

Chapter 0. Sets and Relations

Chapter I. Groups and Subgroups 

Chapter 2. Permutations, Cosets, and Direct Products  

Chapter 3. Homomorphisms and Factor Groups

Chapter 4. Rings and Fields 

Chapter 5. Ideals and Factor Rings 

Chapter 6. Ectension Fields 

Chapter 7. Advanced Group Theory 

Chapter 9. Factorization 

Chapter 10. Automorphisms and Galois Theory 

Appendix: Matrix Algebra 

Notations 

Index 

John B. Fraleigh

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