- #1

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- 44

## Homework Statement

Show that the rings Z[x] and Z are not isomorphic

## Homework Equations

## The Attempt at a Solution

I want to show that these are not isomorphic. The thing is that I already know that ##\mathbb{Z}/(x) \cong \mathbb{Z}##, but for some reason I can't find specific structural properties of ##\mathbb{Z}[x]## that are different than ##\mathbb{Z}##