This article may be confusing or unclear to readers. (April 2009) |
This is a list of algebraic number theory topics.
Basic topics edit
These topics are basic to the field, either as prototypical examples, or as basic objects of study.
Important problems edit
General aspects edit
- Different ideal
- Dedekind domain
- Splitting of prime ideals in Galois extensions
- Decomposition group
- Inertia group
- Frobenius automorphism
- Chebotarev's density theorem
- Totally real field
- Local field
- Adele ring
- Idele group
- Idele class group
- Adelic algebraic group
- Global field
- Hasse principle
- Galois module
- Galois cohomology