Category:Field (mathematics)

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Computing portal

Here is a list of articles in the Field (mathematics) category of the Computing portal that unifies foundations of mathematics and computations using computers.

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

Subcategories

This category has the following 5 subcategories, out of 5 total.

A

► Algebraic number theory‎ (7 C, 125 P)

C

► Class field theory‎ (36 P)

F

► Finite fields‎ (63 P)

G

► Galois theory‎ (40 P)

R

► Real closed field‎ (8 P)

Pages in category "Field (mathematics)"

The following 53 pages are in this category, out of 53 total.

*

Glossary of field theory (computing)

A

Abel's irreducibility theorem (computing)
Abhyankar's inequality (computing)
All one polynomial (computing)
Archimedean property (computing)

B

Brumer–Stark conjecture (computing)

E

Embedding problem (computing)
Equally spaced polynomial (computing)
Equivariant L-function (computing)

F

Field of fractions (computing)
Fundamental theorem of algebra (computing)

H

Higher local field (computing)
Hurwitz problem (computing)

I

Isomorphism extension theorem (computing)
Iwasawa theory (computing)

J

Jacobson–Bourbaki theorem (computing)

K

Krasner's lemma (computing)
Kummer theory (computing)

L

Levi-Civita field (computing)
Linked field (computing)

M

Matrix field (computing)
Minimal polynomial (field theory) (computing)
Mode of a linear field (computing)
Multiplicative group (computing)

N

Nagata's conjecture (computing)

P

P-basis (computing)
Perfect field (computing)
Primary extension (computing)
Primitive element (finite field) (computing)
Primitive element theorem (computing)
Primitive polynomial (field theory) (computing)
Pseudo-finite field (computing)
Purely inseparable extension (computing)
Pythagoras number (computing)
Pythagorean field (computing)

Q

Quadratic field (computing)
Quadratically closed field (computing)
Quaternionic structure (computing)

R

Regular extension (computing)
Resolvent (Galois theory) (computing)
Rupture field (computing)

S

Splitting field (computing)
Square class (computing)
Stark conjectures (computing)
Stufe (algebra) (computing)
Superreal number (computing)

T

Tensor product of fields (computing)
Totally real number field (computing)
Transcendence degree (computing)

U

U-invariant (computing)
Universal quadratic form (computing)

V

Valuation (algebra) (computing)
Valuation ring (computing)

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Ring theory