My Math Forum

My Math Forum (
-   Number Theory (
-   -   Unique factorization domain (

Lokokatz3nkl0 September 10th, 2012 04:25 AM

Unique factorization domain

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,


Lokokatz3nkl0 September 10th, 2012 05:12 AM

Re: Unique factorization domain
I 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,


All times are GMT -8. The time now is 05:57 AM.

Copyright © 2019 My Math Forum. All rights reserved.