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Elements of Abstract Algebra

ISBN-10: 0486647250
ISBN-13: 9780486647258
Edition: Reprint 
Authors: Allan Clark
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Book details

List price: $12.95
Publisher: Dover Publications, Incorporated
Publication date: 10/1/1984
Binding: Paperback
Pages: 224
Size: 5.75" wide x 8.75" long x 0.50" tall
Weight: 0.550
Language: English

Foreword
Introduction
Set Theory
The notation and terminology of set theory
Mappings
Equivalence relations
Properties of natural numbers
Group Theory
Definition of group structure
Examples of group structure
Subgroups and cosets
Conjugacy, normal subgroups, and quotient groups
The Sylow theorems
Group homomorphism and isomorphism
Normal and composition series
The Symmetric groups
Field Theory
Definition and examples of field structure
Vector spaces, bases, and dimension
Extension fields
Polynomials
Algebraic extensions
Constructions with straightedge and compass
Galois Theory
Automorphisms
Galois extensions
Solvability of equations by radicals
Ring Theory
Definition and examples of ring structure
Ideals
Unique factorization
Classical Ideal Theory
Fields of fractions
Dedekind domains
Integral extensions
Algebraic integer?
Bibliography
Index

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