  We explore the astrobiological significance of F-type stars of spectral type
between F5 V and F9.5 V, which possess Jupiter-type planets within or close to
their climatological habitable zones. These planets, or at least a subset of
those, may also possess rocky exomoons, which potentially offer habitable
environments. Our work considers eight selected systems. The Jupiter-type
planets in these systems are in notably differing orbits with eccentricities
between 0.08 (about Mars) and 0.72. We consider the stellar UV environments
provided by the photospheric stellar radiation, which allows us to compute the
UV habitable zones for the systems. Following previous studies, DNA is taken as
a proxy for carbon-based macromolecules following the paradigm that
extraterrestrial biology might be based on hydrocarbons. We found that the
damage inflicted on DNA is notably different for the range of systems studied,
and also varies according to the orbit of the Jupiter-type planet, especially
for systems of high ellipticity, as expected. For some systems excessive values
of damage are attained compared to today's Earth or during the Archean eon.
Considering that the detection of exomoons around different types of stars will
remain challenging in the foreseeable future, we view our work also as an
example and template for investigating the combined requirements of
climatological and UV-based habitability for exosolar objects.
