This article may be confusing or unclear to readers. (April 2009) |
This is a list of algebraic number theory topics.
Basic topics
editThese topics are basic to the field, either as prototypical examples, or as basic objects of study.
Important problems
editGeneral 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
Class field theory
editIwasawa theory
editArithmetic geometry
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