Category:Field theory

A

• ► Algebraic number theory‎ (4 C, 59 P)

C

• ► Class field theory‎ (21 P)

F

• ► Field extensions‎ (9 P)
• ► Finite fields‎ (43 P)
• ► Formally real field‎ (2 P)

G

• ► Galois theory‎ (22 P)

R

• ► Real closed field‎ (5 P)

• Glossary of field theory

A

• Additive polynomial
• Adjunction (field theory)
• Algebraically closed field
• All one polynomial
• Archimedean property

C

• Characteristic (algebra)
• Composite field (mathematics)

D

• Differential Galois theory
• Discrete valuation

E

• Equally spaced polynomial

F

• Field (mathematics)
• Field of fractions
• Formally real field
• Fundamental theorem of algebra

G

• Generic polynomial
• Global field
• Ground field

H

• Hyperreal number

K

• Kummer theory

L

• Liouville's theorem (differential algebra)
• Local field
• Lüroth's theorem

M

• Minimal polynomial (field theory)
• Multiplicative group

N

• Norm form
• Normal basis

P

• P-adic number
• Perfect field
• Polynomial basis
• Primitive polynomial (field theory)
• Pseudo algebraically closed field
• Purely inseparable extension

Q

• Quasi-algebraically closed field
• Quasi-finite field

R

• Rational number
• Rational variety
• Real closed field
• Regular extension

S

• Separable polynomial
• Serre's conjecture II (algebra)
• Splitting field
• Superreal number

T

• Thin set (Serre)
• Totally real number field
• Transcendence degree
• Tschirnhaus transformation

V

• Valuation (algebra)
• Valuation ring