Table of contents for Basic abstract algebra / P.B. Bhattacharya, S.K. Jain, S.R. Nagpaul.


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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.


Library of Congress subject headings for this publication: Algebra, Abstract