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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Tags: algebraic number theory