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I am beginner in algebra. I want to know if every power of a prime ideal is a principal ideal. Is the statement correct or is there a counterexample?

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    Hint (because this looks like homework): It would be enough to find a ring with a prime ideal that is not principal.2011-12-20
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    @HenningMakholm Why did you delete it, I was thinking the same.. was it something wrong in that?2011-12-20
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    @AD: the last sentence of the question as originally asked sounded to me like a translation from a homework exercise in some non-English language -- so I decided I'd rather not provide a complete solution.2011-12-20
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    @HenningMakholm Ok I agree.2011-12-20
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    Vahid: Start by looking at a *non-PID*.2011-12-20
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    So, Vahid, why do you ask did you try anyting?2011-12-20
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    @AD. No problem. And I'm somehow surprised that you were able to summon me based on just the edit. I didn't know that was possible. So at least I learned something from this occasion.2011-12-20
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    Vahid, please try to use a respective language.2011-12-20

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