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I have a question similar to 74335.

Let $R$ be an integral domain. Is there a nice description of the fraction field of the power series $R[[x]]$?

I know that this field can be a proper subfield of $\operatorname{Frac}(R)((x))$, the Laurent series over the fraction field of $R$, as seen here. Given that, I'm at a loss of other candidates for what $\operatorname{Frac}(R[[x]])$ can be.

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    When I say Laurent series I only allow finitely many non-zero negative coefficients.2012-05-02
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    Can you be more specific about what you would like in your description beyond the description given by the construction of $Frac(R[[x]])$? *That* construction is already pretty concrete.2012-05-02
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    @rschwieb: A more concrete description would be something like: ``the fraction field is the laurent/power series with coefficients of form X''.2012-05-02

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