Book:Thomas W. Hungerford/Algebra

Subject Matter

 * Set Theory
 * Abstract Algebra

Contents

 * Preface
 * Acknowledgements
 * Suggestions on the Use of This Book


 * Introduction: Prerequisites and Preliminaries


 * Chapter $\text {I}$: Groups
 * 1. Semigroups, Monoids and Groups
 * 2. Homomorphisms and Subgroups
 * 3. Cyclic Groups
 * 4. Cosets and Counting
 * 5. Normality, Quotient Groups, and Homomorphisms
 * 6. Symmetric, Alternating, and Dihedral Groups
 * 7. Categories: Products, Coproducts, and Free Objects
 * 8. Direct Products and Direct Sums
 * 9. Free Groups, Free Products, Generators & Relations


 * Chapter $\text {II}$: The Structure of Groups


 * Chapter $\text {III}$: Rings


 * Chapter $\text {IV}$: Modules


 * Chapter $\text {V}$: Fields and Galois Theory


 * Chapter $\text {VI}$: The Structure of Fields


 * Chapter $\text {VII}$: Linear Algebra


 * Chapter $\text {VIII}$: Commutative Rings and Modules


 * Chapter $\text {IX}$: The Structure of Rings


 * Chapter $\text {X}$: Categories


 * List of Symbols


 * Bibliography


 * Index