## Product Description

**Downloadable Solution Manual for Modern Algebra An Introduction 6th Edition Durbin**

**SOLUTION MANUAL**for Modern Algebra An Introduction 6th Edition Durbin

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**Table of Contents**

1 Mappings

2 Composition

3Operations

4 Composition As An Operation

5 Definition And Examples

6 Permutations

7 Subgroups

8 Groups And Symmetry

9 Equivalence Relations

10 Congruence. The Division Algorithm

11 Integers Modulo N

12 Greatest Common Divisors. The Euclidean Algorithm

13 Factorization. EulerS Phi-Function

14 Elementary Properties

15 Generators. Direct Products

16 Cosets

17 LagrangeS Theorem. Cyclic Groups

18 Isomorphism

19 More On Isomorphism

20 CayleyS Theorem

21 Homomorphisms Of Groups. Kernels

22 Quotient Groups

23 The Fundamental Homomorphism Theorm

24 Definition And Examples

25 Integral Domains. Subrings

26 Fields

27 Isomorphism. Characteristic

28 Ordered Integral Domains

29 The Integers

30 Field Of Quotients. The Field Of Rational Numbers

31 Ordered Fields. The Field Of Real Numbers

32 The Field Of Complex Numbers

33 Complex Roots Of Unity

34 Definition And Elementary Properties

35 The Division Algorithm

36 Factorization Of Polynomials

37 Unique Factorization Domains

38 Homomorphisms Of Rings. Ideals

39 Quotient Rings

40 Quotient Rings Of F[X]

41 Factorization And Ideals

42 Simple Extensions. Degree

43 Roots Of Polynomials

44 Fundamental Theorem: Introduction

45 Galois Groups

46 Splitting Fields. Galois Groups

47 Separability And Normality

48 Fundamental Theorem Of Galois Theory

49 Solvability By Radicals

50 Finite Fields

51 Three Famous Problems

52 Constructible Numbers

53 Impossible Constructions

54 Isomorphis Theorems. Solvable Groups

55 Alternation Groups

56 Groups Acting On Sets

57 BurnsideS Counting Theorem

58 SylowS Theorem

59 Finite Symmetry Groups

60 Infinite Two-Dimensional Symmetry Groups

61 On Crystallographic Groups

62 The Euclidean Group

63 Partially Ordered Sets

64 Lattices

65 Boolean Algebras

66 Finite Boolean Algebras

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