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Unique factorization domainHello! --------------------- Exercise: Show that the equation has integral solutions. Deduce that is not a unique factorization domain. --------------------- It over a year ago that I had my Algebra lecture, and so I forgot a lot of it.... Also I never had ring-theory very detailed. So I hope someone can tell me some hints how to show that something is (or in this case isn't) an unique factorization domain! I looked up the definition, but as I never really worked with it, I don't know how to start... The Integer solution to the equation are and . Thanks and all the best, Loko |

Re: Unique factorization domainI figured a little more out ;) So I have with this equation that and thus if and are irreducible, the representation of 125 is not unique... right? If it is right, I would just need help how I could shor the elements to be irreducible. Thanks and best, Loko |

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