bn:03258622n
Noun Concept
Categories: Algebraic structures, long volume value, Ring theory, Articles with short description
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:
math
mathematics
abstract algebra
maths
algebra
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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