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Rings and Factorization

David Sharpe
Publisher: 
Cambridge University Press
Publication Date: 
1987
Number of Pages: 
124
Format: 
Paperback
Price: 
30.99
ISBN: 
978-0521337182
Category: 
Monograph
BLL Rating: 

The Basic Library List Committee recommends this book for acquisition by undergraduate mathematics libraries.

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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.

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