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Modern Algebra: A Conceptual Approach

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Author(s): Franklin D. Pedersen
Publisher: Wm. C. Brown Publishers
Year: 1993

Language: English

Title
Contents
Preface
Note to the Instructor
0. For the Student
1. Number Theory
2. Operations
3. Semigroups and Groups
4. Properties of Groups
5. Functions and Homomorphisms
6. Subgroups
7. Generating Sets, Cyclic Groups, and Products of Groups
8. Permutation Groups
9. Cayley's Theorem and the Fundamental Theorem on Finite Abelian Groups
10. Relations and Cosets
11. Lagrange's Theorem
12. Normal Subgroups and Quotient Groups
13. Rings
14. Subrings and Ideals
15. Polynomial Rings
16. Quotient Rings and Field Extensions
Appendix A: Matrices
Appendix B: Composition of Functions and Associativity
Appendix C: Set Notation
Index