Partial Groupoid Actions: Globalization, Morita Theory, and Galois Theory
By Dirceu Bagio, Antonio Paques. 2011
82 citations recorded by the source corpus.
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.
Subfields: Algebra and Number Theory, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/a3ac7faa37f8a67a8f7e5d3c653e0227f06d3a62
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In Algebra and Number Theory
In Mathematical Physics
Citations in the corpus
- Recent developments around partial actions (2018, methodology): “ in [123], for the elaboration of the concept of a partial Hopf (co)action in [72], as well as in a series of ring theoretic and Galois theoretic investigations in [27], [29], [30], [32], [35], [39], [41], [49], [50], [69], [77], [98], [99], [101], [104], [106], [171], [176], [252], [253]. 2Such a g”