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The closure of cyclic modules under direct sums and direct summands
Cohen and Kaplansky have proven that a commutative ring $R$ has the property
C: Every $R$-module is a direct sum of cyclic $R$-modules.
if and only if $R$ is an Artinian principal ideal ring. Can ...
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Structure theorem for infinitely generated modules over a PID
This is a refined version of a question I asked days ago and have no answers yet. I am completely illietarte in algebra so, please, don't kill but explain.
The question is all in the title: is there ...
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