Geodesic
Relative Mal'tsev categories
Theory and applications of categories, Tome 28 (2013), pp. 1002-1021
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We define relative regular Mal'tsev categories and give an overview of conditions which are equivalent to the relative Mal'tsev axiom. These include conditions on relations as well as conditions on simplicial objects. We also give various examples and counterexamples.

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Classification : 18A20, 18E10, 18G25, 18G30, 20J
Keywords: higher extension, simplicial resolution, Mal'tsev condition, relative homological algebra, arithmetical category 
@article{TAC_2013_28_a28,
     author = {Tomas Everaert and Julia Goedecke and Tamar Janelidze-Gray and Tim Van der Linden},
     title = {Relative {Mal'tsev} categories},
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     year = {2013},
     volume = {28},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2013_28_a28/}
}
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Tomas Everaert; Julia Goedecke; Tamar Janelidze-Gray; Tim Van der Linden. Relative Mal'tsev categories. Theory and applications of categories, Tome 28 (2013), pp. 1002-1021. http://geodesic.mathdoc.fr/item/TAC_2013_28_a28/