I am trying to figure out how many $\mathbb Z[i]$ modules (up to isomorphisms) are of $21$ and $65$ elements. I've done a few similar exercises for finite abelian groups ($\mathbb Z$ modules) but I am pretty lost on how to apply the structure theorem with this particular ring. Any suggestions would be greatly appreciated.
2026-04-07 19:32:41.1775590361
Characterize all $\mathbb Z[i]$ modules of order $21$ and $65$
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