Algebraic number theory – index

This is a list of posts in the algebraic number theory series to date, oldest first.

1. A brief history of algebra

2. Numbers – rational and irrational, real and imaginary

3. Diophantine equations

4. Groups and rings

5. Fields and Galois theory

6. Modular arithmetic

7. Rings of algebraic integers

8. Rings and ideals

9. Uniqueness of factorization

10. Failure of unique factorization

11. Why do we care about unique factorization?

12. More concepts from ring theory

13. Factorization of prime ideals in extension fields

14. Splitting of prime ideals in quadratic extensions of ℚ, part 1

15. Splitting of prime ideals in algebraic number fields

16. Roots of unity and cyclotomic fields

17. Cyclotomic fields, part 2

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