Category:Definitions/Field Theory

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This category contains definitions related to Field Theory.
Related results can be found in Category:Field Theory.

Field theory is a branch of abstract algebra which studies fields and other related algebraic structures.

Subcategories

This category has the following 24 subcategories, out of 24 total.

A

Definitions/Algebraic Closures‎ (2 P)
Definitions/Algebraically Closed Fields‎ (5 P)
Definitions/Algebras over Fields‎ (4 P)

C

Definitions/Characteristics of Fields‎ (1 P)

D

Definitions/Division over Field‎ (1 C, 2 P)

F

Definitions/Field Extensions‎ (4 C, 66 P)
Definitions/Field Homomorphisms‎ (1 C, 3 P)
Definitions/Fields (Abstract Algebra)‎ (1 C, 7 P)

G

Definitions/Galois Fields‎ (1 C, 4 P)
Definitions/Galois Theory‎ (4 C, 10 P)

K

Definitions/Kummer Theory‎ (1 P)

M

Definitions/Minimal Polynomials‎ (1 C, 7 P)
Definitions/Multiplicative Groups‎ (2 P)

O

Definitions/Ordered Fields‎ (2 C, 5 P)

P

Definitions/P-adic Valuations‎ (2 C, 11 P)
Definitions/Perfect Fields‎ (3 P)

R

Definitions/Rational Numbers‎ (8 C, 48 P)
Definitions/Roots of Mappings‎ (4 P)
Definitions/Roots of Unity‎ (2 C, 5 P)

S

Definitions/Separable Polynomials‎ (4 P)
Definitions/Skew Fields‎ (4 P)
Definitions/Standard Number Fields‎ (4 C, 5 P)
Definitions/Subfields‎ (1 C, 10 P)

T

Definitions/Topological Fields‎ (1 P)

Pages in category "Definitions/Field Theory"

The following 83 pages are in this category, out of 83 total.

A

C

D

E

Definition:Embedding (Galois Theory)

G

I

K

Definition:Kummer Theory

M

N

Definition:Negative of Element

O

Definition:Ordered Field

P

R

S

T

U

Definition:Unity of Field

V

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