Not an algebraic set
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Not an algebraic set
Let \(\displaystyle{\varnothing\subset V(I)\subset \mathbb{K}^n}\), where \(\displaystyle{I}\) is an
ideal of \(\displaystyle{\mathbb{K}[x_1,...,x_n]}\) and \(\displaystyle{\mathbb{K}}\) is an algebraically closed field.
Show that \(\displaystyle{\mathbb{K}^n-V(I)}\) is not an algebraic set.
ideal of \(\displaystyle{\mathbb{K}[x_1,...,x_n]}\) and \(\displaystyle{\mathbb{K}}\) is an algebraically closed field.
Show that \(\displaystyle{\mathbb{K}^n-V(I)}\) is not an algebraic set.
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