Geodesic
On the monad of internal groupoids
Theory and applications of categories, Tome 28 (2013), pp. 150-65
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We deeply analyse the structural organisation of the fibration of points and of the monad of internal groupoids. From that we derive: 1) a new characterization of internal groupoids among reflexive graphs in the Mal'cev context; 2) a setting in which a Mal'cev category is necessarily a protomodular category.

Publié le :
Classification : 18G50, 18D35, 20J15, 08C05
Keywords: Fibration of points, monad of internal groupoids, Mal'cev and protomodular categories, split exact sequence, algebraic exponentiation 
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     author = {Dominique Bourn},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2013_28_a4/}
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Dominique Bourn. On the monad of internal groupoids. Theory and applications of categories, Tome 28 (2013), pp. 150-65. http://geodesic.mathdoc.fr/item/TAC_2013_28_a4/