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October 11th, 2018, 02:13 PM   #11
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Joined: Aug 2017
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Math Focus: Algebraic Number Theory, Arithmetic Geometry
Originally Posted by Maschke View Post
If I had to answer this question and couldn't fall back on vector spaces, this is the best I could do. Can anyone think of an application of $\mathbb Z$-modules that isn't overkill, such as the free module generated by apples and oranges?
$\mathbb{Z}$-modules are nothing more than abelian groups - it seems even cheaper to fall back on these than vector spaces!
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