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Oct 24, 2018 at 18:46 vote accept Benjamin Steinberg
Oct 24, 2018 at 17:27 history edited Benjamin Steinberg CC BY-SA 4.0
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Oct 24, 2018 at 16:20 answer added Uriya First timeline score: 4
Oct 24, 2018 at 15:03 comment added Benjamin Steinberg Probably they do. Maybe you just invert the powers of the prime $p$.
Oct 24, 2018 at 15:01 comment added rschwieb I would have thought the Prüfer groups would have an analogue for any prime $p$ in a PID, but I don't understand them well :) Sorry I can only make comments like these instead of resolving the problem...
Oct 24, 2018 at 14:42 history edited Benjamin Steinberg CC BY-SA 4.0
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Oct 24, 2018 at 14:41 comment added Benjamin Steinberg @rschwieb, If you think about $\mathbb Z$ where you get $\mathbb Q$ and the Prufer p-groups, then it seems not so easy. That is why I want $\mathbb C$, so we have fewer irreducibles., which I realize I forgot to say.
Oct 24, 2018 at 14:32 comment added rschwieb It does seem that the injective envelope of arbitrary cyclic modules over a PID should be well-known!
Oct 24, 2018 at 14:29 history edited Benjamin Steinberg CC BY-SA 4.0
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Oct 24, 2018 at 14:29 comment added Benjamin Steinberg k should be C. Sorry. I'll fix.
Oct 24, 2018 at 14:11 history edited Benjamin Steinberg CC BY-SA 4.0
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Oct 24, 2018 at 14:00 history asked Benjamin Steinberg CC BY-SA 4.0