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Learn abstract algebra

12 Modules · 63 Lessons

Recommended resources

Module 2

Introduction to Groups

Module 3

Subgroups and Cyclic Groups

Module 4

Permutation and Dihedral Groups

Module 5

Cosets and Lagrange's Theorem

Module 6

Group Homomorphisms

Module 7

Normal Subgroups, Quotient Groups, and the First Isomorphism Theorem

Module 8

Group Isomorphisms and Cayley's Theorem

Module 9

Introduction to Rings and Fields

Module 10

Ideals, Quotient Rings, and Ring Homomorphisms

Module 11

Polynomial Rings

Module 12

Field Extensions and Finite Fields