%0 Journal Article %T Morita equivalence of inverse semigroups %A B Afara %A M V Lawson %J Mathematics %D 2011 %I arXiv %X We describe how to construct all inverse semigroups Morita equivalent to a given inverse semigroup. This is done by taking the maximum inverse images of the regular Rees matrix semigroups over the inverse semigroup where the sandwich matrix satisfies what we call the McAlister conditions. %U http://arxiv.org/abs/1104.2460v1