@Kerapace Off the top of my head: try proving them for the integers first, then see if you can generalize.
@Kerapace Might help to have a few examples handy of UFDs that aren't PIDs. I think some algebraic extensions of Z work for that?
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@Kerapace Might help to have a few examples handy of UFDs that aren't PIDs. I think some algebraic extensions of Z work for that?