  The "memory effect" is the permanent change in the relative separation of
test particles resulting from the passage of gravitational radiation. We
investigate the memory effect for a general, spatially flat FLRW cosmology by
considering the radiation associated with emission events involving
particle-like sources. We find that if the resulting perturbation is decomposed
into scalar, vector, and tensor parts, only the tensor part contributes to
memory. Furthermore, the tensor contribution to memory depends only on the
cosmological scale factor at the source and observation events, not on the
detailed expansion history of the universe. In particular, for sources at the
same luminosity distance, the memory effect in a spatially flat FLRW spacetime
is enhanced over the Minkowski case by a factor of $(1 + z)$.
