Affin-algebraische Mengen/Affin-linear äquivalent/Definition

Affin-linear äquivalent

Zwei affin-algebraische Mengen ${}V,{\tilde {V}}\subseteq {{\mathbb {A} }_{K}^{n}}$ heißen affin-linear äquivalent, wenn es eine affin-lineare Variablentransformation ${}\varphi \colon {{\mathbb {A} }_{K}^{n}}\rightarrow {{\mathbb {A} }_{K}^{n}}$ mit

{}\varphi ^{-1}(V)={\tilde {V}}\,

gibt.

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