ring
algebraic structure that has compatible structures of an abelian group and a monoid, in particular having multiplicative identity
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ring
Summary
ring has Wikipedia articles in 29 language editions, a strong signal of global cultural recognition.[1]
Key Facts
- ring is a type of nonassociative ring[2].
- ring is a type of semiring[3].
- ring is a type of rng[4].
- ring comprises additive identity[5].
- ring comprises multiplicative identity[6].
- ring's topic's main category is recorded as Category:Rings (mathematics)[7].
- ring's described by source is recorded as Great Soviet Encyclopedia (1926–1947)[8].
- ring's different from is recorded as rng[9].
- ring's different from is recorded as nonassociative ring[10].
- ring's studied by is recorded as ring theory[11].
- ring's on focus list of Wikimedia project is recorded as Wikipedia:Vital articles/Level/4[12].
- ring's maintained by WikiProject is recorded as WikiProject Mathematics[13].
- ring's underlying structure is recorded as abelian group[14].
- ring's underlying structure is recorded as monoid[15].
- ring's underlying structure is recorded as non-empty set[16].
Body
Definition and Type
Recorded subclass of include nonassociative ring[2], semiring[3], and rng[4].
Use and Application
Components include additive identity[5], a number[17] and multiplicative identity[6], a number[18].
Why It Matters
ring has Wikipedia articles in 29 language editions, a strong signal of global cultural recognition.[1] ring is known by 19 alternative names across languages and contexts.[19]