this is maybe an easy question but I don't see the answer:
I'm trying find a primary ideal in $K[x,y,z]$ non being irreducible (where $K$ is a field)
Thank you in advance!
2026-04-01 18:39:43.1775068783
Non irreducible primary ideal in $K[x,y,z]$
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If $Q_1, Q_2$ are both $P$-primary, then their intersection $Q_1 \cap Q_2$ is also P-primary. Then $Q_1 \cap Q_2$ is clearly reducible. Use this to find an example.