Rings and Factorization - Brossura

Sharpe, David

Brossura

ISBN 10: 0521337186 ISBN 13: 9780521337182

Casa editrice: Cambridge University Press, 2009

Riassunto

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

Su questo libro

Descrizione del libro

This textbook is an introduction to the concept of factorization and its application to problems in algebra and number theory. Dr Sharpe has included numerous examples which demonstrate how frequently these ideas are useful in concrete, rather than abstract, settings. The book also contains many exercises of varying degrees of difficulty together with hints and solutions.

Contenuti

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.

Dettagli dell'edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 2009
• Lingua: Inglese
• ISBN 10: 0521337186
• ISBN 13: 9780521337182
• Rilegatura: Copertina flessibile
• Numero edizione: 1
• Numero di pagine: 124
• Contatto del produttore: non disponibile
• Persona responsabile: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; Francia