ISBN-10:
0521311071
ISBN-13:
9780521311076
Pub. Date:
04/30/1986
Publisher:
Cambridge University Press
Basic Abstract Algebra

Basic Abstract Algebra

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Product Details

ISBN-13: 9780521311076
Publisher: Cambridge University Press
Publication date: 04/30/1986
Pages: 476
Product dimensions: 6.06(w) x 9.25(h) x 0.91(d)

Table of Contents

Preface to the second edition; Preface to the first edition; Glossary of symbols; Part I. Preliminaries: 1. Sets and mappings; 2. Integers, real numbers, and complex numbers; 3. Matrices and determinants; Part II. Groups: 4. Groups; 5. Normal subgroups; 6. Normal series; 7. Permutation groups; 8. Structure theorems of groups; Part III. Rings and Modules: 9. Rings; 10. Ideals and homomorphisms; 11. Unique factorization domains and euclidean domains; 12. Rings of fractions; 13. Integers; 14. Modules and vector spaces; Part IV. Field Theory: 15. Algebraic extensions of fields; 16. Normal and separable extensions; 17. Galois theory; 18. Applications of Galios theory to classical problems; Part V. Additional Topics: 19. Noetherian and Artinian modules and rings; 20. Smith normal form over a PID and rank; 21. Finitely generated modules over a PID; 22. Tensor products; Solutions to odd-numbered problems; Selected bibliography; Index.

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