paper

Partial groupoid actions: globalization, Morita theory and Galois theory

arXiv:1112.0670 · doi:10.1080/00927872.2011.592889

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.

25 pages

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