  R-parity can be extended to a continuous global U(1)${}_R$ symmetry. We
investigate whether an anomalous U(1)${}_R$ can be identified as the PQ
symmetry suitable for solving the strong CP problem within supersymmetric
extensions of the Standard Model. In this case, U(1)${}_R$ is broken at some
intermediate scale and the QCD axion is the R-axion. Moreover, the R-symmetry
can be naturally gauged via the Green-Schwartz mechanism within completions to
supergravity, thus evading the axion quality problem. Obstacles to realizing
this scenario are highlighted and phenomenologically viable approaches are
identified.
