Vollständige rationale Gitter/Eingebettete Isomorphie/Aufgabe

Es seien ${}\Gamma _{1},\Gamma _{2}\subseteq \mathbb {R} ^{n}$ rationale vollständige Gitter. Zeige, dass es eine ${}\mathbb {Q}$ -lineare Abbildung

\mathbb {Q} ^{n}\longrightarrow \mathbb {Q} ^{n}

\Gamma _{1}\longrightarrow \Gamma _{2}

induziert.

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