On 11/05/16 00:55, Ralf Stephan wrote:
sage: parent((z).polynomial(QQ))
Univariate Polynomial Ring in z over Rational Field
sage: parent((1/z+z).polynomial(QQ))
Univariate Laurent Polynomial Ring in z over Rational Field

This behavior would not fit well with

sage: R.<x> = PolynomialRing(QQ)
sage: (x + 1/x).parent()
Fraction Field of Univariate Polynomial Ring in x over Rational Field

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