There is an ideal $(xy-1)$ in $\mathbb{C}[x,y]$ which belongs to $(x+1,y+1)$, so I want to know if there exists an ideal $I$: $(xy-1) \subset I \subset (x+1,y+1)$
2026-04-06 10:52:38.1775472758
Ideal in $\mathbb{C}[x,y]$
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How about the ideal $I=(x^2-1,x-y)$?