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Homework Help: Units in a ring

  1. Apr 16, 2010 #1
    1. The problem statement, all variables and given/known data
    In the ring Z([tex]\sqrt{}5i[/tex]) = n + m[tex]\sqrt{}5i[/tex], n and m integers, find the units.


    2. Relevant equations

    --

    3. The attempt at a solution
    I know 1 and -1 are units, and my textbook seems to indicate that [tex]\sqrt{}5i[/tex] and -[tex]\sqrt{}5i[/tex] are also units, but I don't know if that's right because I don't know what the inverse of those elements would be -- multiplying them together gives you 5, right? Are there different units I haven't found?

    thanks!
     
  2. jcsd
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