Basically what I said in the title: I can't find a proof that doesn't make use of commutativity. I know that Commutativity is generally taken for granted in a domain, but I wanted to know in general, since this not being true would break "PID implies Dedekind" in a noncommutative setting.
2026-03-27 16:54:12.1774630452
Is still true that every nonzero Prime Ideal is Maximal in a noncommutative PID?
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