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MATH2076: Introduction to Algebra

Introduction to Algebra

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Congruence and well defined operations

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Chapter 1

Congruence and well defined operations

Congruence and well defined operations

Chapter 2

Symmetry structure and homomorphisms

Symmetry structure and homomorphisms

Chapter 3

Polynomial quotients and number fields

Polynomial quotients and number fields

Chapter 4

Subgroups cyclic structure and coset counting

Subgroups cyclic structure and coset counting

Chapter 5

Kernels normality and quotient structure

Kernels normality and quotient structure

Chapter 6

Ideals and the polynomial Euclidean algorithm

Ideals and the polynomial Euclidean algorithm

Chapter 7

Irreducibility and field construction

Irreducibility and field construction

Chapter 8

Permutation and dihedral groups

Permutation and dihedral groups

Chapter 9

Boolean algebras and the algebra of logical functions

Boolean algebras and the algebra of logical functions

Chapter 10

Field extensions and finite field examples

Field extensions and finite field examples

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