ideal
additive subgroup of a ring closed under multiplcation by arbitrary ring element
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Summary
ideal has Wikipedia articles in 27 language editions, a strong signal of global cultural recognition.[1]
Key Facts
- ideal is a type of abelian group[2].
- ideal is a type of rng[3].
- ideal is a type of submodule[4].
- ideal is part of ring[5].
- ideal's Commons category is recorded as Ideal (ring theory)[6].
- ideal's topic's main category is recorded as Category:Ideals (ring theory)[7].
- ideal's different from is recorded as ideal[8].
- ideal's different from is recorded as fractional ideal[9].
- ideal's studied by is recorded as ring theory[10].
- ideal's maintained by WikiProject is recorded as WikiProject Mathematics[11].
Body
Definition and Type
Recorded subclass of include abelian group[2], rng[3], and submodule[4].
Use and Application
ideal is part of ring[5].
Why It Matters
ideal has Wikipedia articles in 27 language editions, a strong signal of global cultural recognition.[1] ideal is known by 21 alternative names across languages and contexts.[12]