D. W. Sharpe, David Sharpe

Rings and Factorization

• Broschiertes Buch

Produktbeschreibung

This textbook is an introduction to the concept of factorisation and its application to problems in algebra and number theory.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 124
• Erscheinungstermin: 26. August 2008
• Englisch
• Abmessung: 216mm x 140mm x 7mm
• Gewicht: 167g
• ISBN-13: 9780521337182
• ISBN-10: 0521337186
• Artikelnr.: 25545834

Inhaltsangabe

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.