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The square of a formal laurent series

  1. Oct 16, 2011 #1
    Let [tex]F[/tex] be a field. Let [tex] c \in F[/tex].

    I am trying to show that if
    [tex] c = f^2[/tex] where [tex]f\in F[[x]][/tex], then [tex]f\in F[/tex].

    So I am able to get rid of the terms with negative exponent. So now I'm left with a formal power series. Anyone knows how to do this? Thanks!
  2. jcsd
  3. Oct 16, 2011 #2
    Figured it out. So sorry, guys. :(
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