Q- module or not ?

Groups, Rings, Domains, Modules, etc, Galois theory
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Papapetros Vaggelis
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Joined: Mon Nov 09, 2015 1:52 pm

Q- module or not ?

#1

Post by Papapetros Vaggelis »

Is there any multiplication \(\displaystyle{\cdot:\mathbb{Q}\times \mathbb{Z}\longrightarrow \mathbb{Z}}\)

which gives to the abelian group \(\displaystyle{\left(\mathbb{Z},+\right)}\) a \(\displaystyle{\mathbb{Q}}\) - module structure ?
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