Field Theory
- Basic concepts
- Field (mathematics)
- Subfield (mathematics)
- Multiplicative group
- Primitive element (field theory)
- Multiplicative group
- Field extension
- Algebraic extension
- Splitting field
- Algebraically closed field
- Algebraic element
- Algebraic closure
- Separable extension
- Separable polynomial
- Normal extension
- Galois extension
- Abelian extension
- Transcendence degree
- Algebraic extension
- Field norm
- Field trace
- Conjugate element (field theory)
- Tensor product of fields
- Types
- Algebraic number field
- Global field
- Local field
- Finite field
- Symmetric function
- Formally real field
- Real closed field
- Applications
- Galois theory
- Galois group
- Inverse Galois problem
- Kummer theory
Read more about this topic: List Of Abstract Algebra Topics
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