  We review measurements of open beauty production at HERA, with emphasis on
recent results based on lifetime signatures. The beauty cross sections in
photoproduction and deep-inelastic scattering are found to be higher than
expected in QCD at next-to-leading order. The discussion includes new results
on beauty production in e+e-, gamma-gamma and p-bar-p interactions. An outlook
on the potential for measurements with the upgraded HERA collider and
experiments is also given.
