# Category:Field (mathematics)

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

### C

### F

### G

### R

## 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)*