Laurent series and power series

Reference no: EM13126503

If F is a field, prove that the field of fractions of F[[x]] is the ring F((x)) of formal Laurent series. Show that the field of fractions of the power series ring Z[[x]] is properly contained in the field of Laurent series Q((x)).

Ps. Here F[[x]] is the ring of formal power series in the indeterminate x with coefficients in F.

Reference no: EM13126503

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