Category:Field theory

Field theory is a branch of mathematics which studies the properties of fields.

Read the main article about Field theory...

Subcategories

There are 3 subcategories to this category.

F

• Formally real field

G

• Galois theory

R

• Real closed field

Articles in category "Field theory"

There are 51 articles in this category.

Abelian extension Additive polynomial Algebraic closure All one polynomial Archimedean field Archimedean property C Characteristic (algebra) Conjugate element (field theory) D Differential Galois theory E Eisenstein's criterion Equally spaced polynomial F Field (mathematics) Field extension Field norm Field theory (mathematics) Field trace Finite field

F cont. Formally real field Frobenius automorphism Fundamental theorem of algebra G Galois group Galois theory Generic polynomial Global field Glossary of field theory Grothendieck's Galois theory H Hyperreal number I Itoh-Tsujii inversion algorithm Iwasawa theory K Kummer theory L Local field M Minimal polynomial Multiplicative group N Number system P P-adic number

P cont. Polynomial basis Primitive element (field theory) Primitive polynomial Q Quadratic field Quotient field R Rational number Rationality question Real closed field Root of unity S Separable extension Separable polynomial Superreal number T Tensor product of fields Totally real number field Tschirnhaus transformation Z Zech's logarithms