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- W2065397603 abstract "In this paper we introduce the category G-pAct of partial actions of a fixed group G. The objects or G-psets are the sets X endowed with a partial action of G on X and the morphisms, or preferably G-pmorphisms, are the maps preserving this action. As a special achievement, we extend several well-known constructions in the category G-Act, of global actions of G, to this new context. In particular, we characterize products, coproducts, equalizers and pullbacks for arbitrary G-pmorphisms. We also characterize coequalizers and pushouts for strong G-pmorphisms (category G-fpAct). Last, we prove that the category G-pAct is complete and the category G-fpAct is cocomplete. AMS Subject Classification: 18A30, 20M30" @default.
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- W2065397603 date "2014-08-21" @default.
- W2065397603 modified "2023-10-16" @default.
- W2065397603 title "THE CATEGORY OF PARTIAL ACTIONS OF A GROUP: SOME CONSTRUCTIONS" @default.
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- W2065397603 doi "https://doi.org/10.12732/ijpam.v95i1.6" @default.
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