Partial groupoid actions: globalization, Morita theory and Galois theory
  In this paper we introduce the notion of a partial action of a groupoid on a ring as well as we give a criteria for the existence of a globalization of it. We construct a Morita context associated to a globalizable partial groupoid action and we introduce the notion of a partial Galois extension, which is related to the strictness of this context. 
Dirceu Bagio and Antonio Paques
math.RA