(Q1142699)

English

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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subclass of

primal ideal

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defining formula

{\mathfrak {q}}\neq 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}}\neq \varnothing \right)

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maintained by WikiProject

WikiProject Mathematics

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Identifiers

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28 October 2013

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Microsoft Academic ID

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1 reference

26 January 2022

https://docs.openalex.org/download-snapshot/snapshot-data-format

archive URL

https://web.archive.org/web/20220125070108/https://docs.openalex.org/download-snapshot/snapshot-data-format

archive date

25 January 2022

ProofWiki ID

Definition:Primary_Ideal

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(Q1142699)

primary ideal

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