As the titles says, I need to show that in a PID $R$ an ideal is maximal iff it is prime. This is easy to do if $R$ has a multiplicative identity. I can not do it if $R$ does not have an identity. It would be great if someone could help me out.
2026-03-25 17:45:20.1774460720
In a PID without unit an ideal is maximal iff it is prime.
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