Login Preferences
About News Publications Statistics Downloads API Guide License How to use Preferences
bn:03258622n
Noun Concept
Categories: Algebraic structures, Ring theory, Articles with short description, long volume value
EN
ring  associative ring  associative unital ring  unital ring  associative ring with unity
EN
In mathematics, rings are algebraic structures that generalize fields: multiplication need not be commutative and multiplicative inverses need not exist. Wikipedia
English:
mathematics
algebra
maths
math
abstract algebra
Definitions
Examples
Relations
Sources
EN
In mathematics, rings are algebraic structures that generalize fields: multiplication need not be commutative and multiplicative inverses need not exist. Wikipedia
An algebraic structure Wikipedia Disambiguation
Algebraic structure that has compatible structures of an abelian group and a monoid, in particular having multiplicative identity Wikidata
An algebraic structure with an addition operation constituting an abelian group and with a multiplication operation constituting a semigroup and distributive over addition. OmegaWiki
An algebraic structure with an addition operation constituting an abelian group and with a multiplication operation constituting a monoid and distributive over addition. OmegaWiki
An algebraic structure which consists of a set with two binary operations: an additive operation and a multiplicative operation, such that the set is an abelian group under the additive operation, a monoid under the multiplicative operation, and such that the multiplicative operation is distributive with respect to the additive operation. Wiktionary
Algebra: an algebraic structure. Wiktionary (translation)
EN
The set of integers, Z , is the prototypical ring. Wiktionary
IS A
semiring
nonassociative ring
rng
HAS PART
Abelian group
monoid
ideal
additive identity
PART OF
category of modules
discrete valuation ring
valuation ring
multiplicative identity
HAS KIND
Lie ring
local ring
quotient ring
partially ordered ring
irreducible ring
+30 relations
HAS INSTANCE
Lazard's universal ring
zero ring
Loewy ring
ring of integers modulo n
Perfectoid ring
DIFFERENT FROM
nonassociative ring
rng
STUDIED BY
ring theory
Wikipedia
EN
ring (mathematics)
Wikidata
EN
ring
Wiktionary
EN
ring
OmegaWiki
EN
associative ring, associative ring with unity, associative unital ring, associative unitary ring, ring, ring with unity, unital ring, unitary ring
Wikipedia Redirections
EN
Algebraic ring, Arithmetic properties, associative ring, associative rings, Mathematical ring, Ring (abstract algebra), ring axioms, Ring math, Ring mathematics, Ring maths, ring object, ring of functions, Ring unit, Ring with a unit, Ring with identity, ring with unity, Unit ring, unital ring, Unitary algebra, unitary ring
Wikidata Alias
EN
associative ring, associative ring with identity, associative unital ring, ring with identity, unital 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