This is a basic abstract algebra question.(adsbygoogle = window.adsbygoogle || []).push({});

Q1. Is this (x1, x2) a prime ideal in C[x1, x2, x3, x4] ?

Q2. What about this: (x_{1}x_{4}-x_{2}x_{3}, x_{1}x_{3}-x_{2}^{2})?

Q3. Is this a prime ideal (this is the twisted cubic in projective 3-space):

(x_{1}x_{4}-x_{2}x_{3}, x_{1}x_{3}-x_{2}^{2}, x_{2}x_{4}-x_{3}^{2})?

Thanks everyone.

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# Prime ideals

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