Let $\displaystyle I=<f_1,f_2> \subset \mathbb{C}[x,y]$ be an ideal generated by a linear and an irreducible quadratic polynomial.

Suppose that $\displaystyle g\in \sqrt{I}$. Show that $\displaystyle g^2\in I$

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- Jan 14th 2009, 03:04 AMKaKaRadical ideal
Let $\displaystyle I=<f_1,f_2> \subset \mathbb{C}[x,y]$ be an ideal generated by a linear and an irreducible quadratic polynomial.

Suppose that $\displaystyle g\in \sqrt{I}$. Show that $\displaystyle g^2\in I$ - Jan 14th 2009, 10:06 AMThePerfectHacker
- Jan 14th 2009, 10:07 PMNonCommAlg