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Partial groupoid actions: globalization, Morita theory and Galois theory

Published 3 Dec 2011 in math.RA | (1112.0670v1)

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.

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