prime ideal

Summary

prime ideal ranks in the top 2% of general entities by monthly Wikipedia readership (134 views/month).^[1]

Key Facts

• prime number is named after prime ideal^[2].
• prime ideal's subclass of is recorded as primary ideal^[3].
• prime ideal's subclass of is recorded as irreducible ideal^[4].
• prime ideal's Freebase ID is recorded as /m/0677z^[5].
• prime ideal's topic's main category is recorded as Category:Prime ideals^[6].
• prime ideal's facet of is recorded as prime element^[7].
• prime ideal's different from is recorded as irreducible ideal^[8].
• prime ideal's different from is recorded as prime ideal^[9].
• prime ideal's defining formula is recorded as \mathfrak p \ne R \land \left(\forall (x,y)\in R^2\colon xy\in\mathfrak p \implies {x,y}\cap\mathfrak p \ne \varnothing \right)^[10].
• prime ideal's MathWorld ID is recorded as PrimeIdeal^[11].
• prime ideal's nLab ID is recorded as prime ideal^[12].
• prime ideal's maintained by WikiProject is recorded as WikiProject Mathematics^[13].
• prime ideal's Microsoft Academic ID is recorded as 2779467367^[14].
• prime ideal's ProofWiki ID is recorded as Definition:Prime_Ideal_of_Ring^[15].
• prime ideal's Encyclopedia of Mathematics article ID is recorded as Prime_ideal^[16].
• prime ideal's Treccani's Enciclopedia della Matematica ID is recorded as ideale-primo^[17].
• prime ideal's OpenAlex ID is recorded as C2779467367^[18].
• prime ideal's Metamath statement ID is recorded as df-prmidl^[19].

Why It Matters

prime ideal ranks in the top 2% of general entities by monthly Wikipedia readership (134 views/month).^[1] It has Wikipedia articles in 21 language editions, a strong signal of global cultural recognition.^[20] It is known by 7 alternative names across languages and contexts.^[21]