  We show that an A-infinity algebra structure can be transferred to a
projective resolution of the complex underlying any A-infinity algebra. Under
certain connectedness assumptions, this transferred structure is unique up to
homotopy. In contrast to the classical results on transfer of A-infinity
structures along homotopy equivalences, our result is of interest when the
ground ring is not a field. We prove an analog for A-infinity module
structures, and both transfer results preserve strict units.
