English

Partial groupoid actions: globalization, Morita theory and Galois theory

Rings and Algebras 2015-11-12 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1112.0670,
  title  = {Partial groupoid actions: globalization, Morita theory and Galois theory},
  author = {Dirceu Bagio and Antonio Paques},
  journal= {arXiv preprint arXiv:1112.0670},
  year   = {2015}
}

Comments

25 pages