Partial Groupoid Actions: Globalization, Morita Theory, and Galois Theory

  title={Partial Groupoid Actions: Globalization, Morita Theory, and Galois Theory},
  author={Dirceu Bagio and Antonio Paques},
  journal={Communications in Algebra},
  pages={3658 - 3678}
In this article, 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. 
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