primary ideal
proper ideal q such that, whenever xy ∈ q, then either x ∈ q, or some power of y is in q
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primary ideal
Summary
primary ideal ranks in the top 2% of general entities by monthly Wikipedia readership (29 views/month).[1]
Key Facts
- primary ideal's subclass of is recorded as primal ideal[2].
- primary ideal's Freebase ID is recorded as /m/08l20b[3].
- primary ideal's defining formula is recorded as \mathfrak q \ne R \land \left(\forall (x,y)\in R^2\colon xy\in\mathfrak q \implies {x,y,y^2,y^3,\dotsc}\cap\mathfrak q \ne \varnothing\right)[4].
- primary ideal's MathWorld ID is recorded as PrimaryIdeal[5].
- primary ideal's maintained by WikiProject is recorded as WikiProject Mathematics[6].
- primary ideal's Microsoft Academic ID is recorded as 170320730[7].
- primary ideal's ProofWiki ID is recorded as Definition:Primary_Ideal[8].
- primary ideal's OpenAlex ID is recorded as C170320730[9].
Why It Matters
primary ideal ranks in the top 2% of general entities by monthly Wikipedia readership (29 views/month).[1] It has Wikipedia articles in 14 language editions, a strong signal of global cultural recognition.[10]