Partial groupoid actions: globalization, Morita theory and Galois theory

Details Partial groupoid actions: globalization, Morita theory and Galois theory Partial groupoid actions: globalization, Morita theory and Galois theory

2011-12-03

arxiv.org/abs/1112.0670v1

Mathematics

Rings and Algebras

25 pages

Scientific paper

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.

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