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Rings and Factorization Book

Rings and Factorization
Rings and Factorization, This textbook is an introduction to the concept of factorization and its application to problems in algebra and number theory. With the minimum of prerequisites, the reader is introduced to the notion of rings, fields, prime elements and unique factorizat, Rings and Factorization has a rating of 4 stars
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Rings and Factorization, This textbook is an introduction to the concept of factorization and its application to problems in algebra and number theory. With the minimum of prerequisites, the reader is introduced to the notion of rings, fields, prime elements and unique factorizat, Rings and Factorization
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  • Rings and Factorization
  • Written by author David J. Sharpe
  • Published by Cambridge University Press, August 1987
  • This textbook is an introduction to the concept of factorization and its application to problems in algebra and number theory. With the minimum of prerequisites, the reader is introduced to the notion of rings, fields, prime elements and unique factorizat
  • This textbook is an introduction to the concept of factorization and its application to problems in algebra and number theory.
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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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Rings and Factorization, This textbook is an introduction to the concept of factorization and its application to problems in algebra and number theory. With the minimum of prerequisites, the reader is introduced to the notion of rings, fields, prime elements and unique factorizat, Rings and Factorization

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Rings and Factorization, This textbook is an introduction to the concept of factorization and its application to problems in algebra and number theory. With the minimum of prerequisites, the reader is introduced to the notion of rings, fields, prime elements and unique factorizat, Rings and Factorization

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Rings and Factorization, This textbook is an introduction to the concept of factorization and its application to problems in algebra and number theory. With the minimum of prerequisites, the reader is introduced to the notion of rings, fields, prime elements and unique factorizat, Rings and Factorization

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