Affiner Raum/Punktideal/Maximal/Aufgabe

Zeige, dass zu einem Punkt ${}P=(a_{1},\ldots ,a_{n})\in {{\mathbb {A} }_{K}^{n}}$ das zugehörige Ideal

(X_{1}-a_{1},X_{2}-a_{2},\ldots ,X_{n}-a_{n})

ist.

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