Login Preferences
About News Publications Statistics Downloads API Guide License How to use Preferences
bn:00034269n
Noun Concept
Categories: Field theory, Algebraic structures, Abstract algebra, Articles with short description
EN
field  field theory  Additive group of a field  Algebraic Field  commutative division ring
EN
(mathematics) a set of elements such that addition and multiplication are commutative and associative and multiplication is distributive over addition and there are two elements 0 and 1 WordNet 3.0
English:
math
mathematics
abstract algebra
maths
algebra
Definitions
Examples
Relations
Sources
EN
(mathematics) a set of elements such that addition and multiplication are commutative and associative and multiplication is distributive over addition and there are two elements 0 and 1 WordNet 3.0 & Open English WordNet
In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined and behave as the corresponding operations on rational and real numbers do. Wikipedia
Type of algebraic structure Wikipedia Disambiguation
The theory of the algebraic concept of field Wikipedia Disambiguation
Commutative ring in which every nonzero element is inversible Wikidata
A number system wıth functions that has the same properties relative to the operations of addition and multiplication used for real numbers. OmegaWiki
EN
The set of all rational numbers is a field WordNet 3.0 & Open English WordNet
IS A
set
theory
branches of science
Euclidean domain
bialgebra
+6 relations
HAS PART
Galois theory
primitive nth root of unity
PART OF
mathematics
HAS KIND
scalar field
real closed field
residue field
finite field
field extension
+12 relations
CATEGORY DOMAIN
mathematics
DIFFERENT FROM
division ring
HAS PARTS OF THE CLASS
Abelian group
STUDIED BY
field
abstract algebra
category theory
STUDIES
field
WordNet 3.0 & Open English WordNet
EN
field
Wikipedia
EN
field (mathematics)
Wikidata
EN
field, field theory
OmegaWiki
EN
field
Wikipedia Redirections
EN
Additive group of a field, Algebraic field, Field (abstract algebra), field axioms, Field mathematics, field of characteristic zero, field theory (mathematics), Mathematical field, Rational domain, topological field
Wikidata Alias
EN
Algebraic Field, commutative division ring

Please note that, in order to improve your browsing experience on this website, BabelNet® uses various types of cookies, including: browsing functionality, performance and statistical cookies.

By continuing to browse the site you are agreeing to our use of cookies. OK

License