Rings and Factorization

ISBN: 9780521337182 出版年：1987 页码：123 David Sharpe Cambridge University Press

Preface Introduction Part I: Rings 1. Introduction 2. Binary operations 3. Definition of a ring 4. Homomorphisms, subrings and isomorphisms 5. Integral domains 6. Fields 7. Residue-class rings Part II: Factorization 8. Introduction 9. Unique factorization domains 10. Euclidean domains 11. Greatest common divisors 12. Prime elements 13. Euclidean domains are UFDs 14. The two-square theorem 15. Factorization of polynomials 16. An application of UFD's to determinantal identities Postscript Partial solutions to exercises References Index.