Geodesic
Moore Categories
Theory and applications of categories, Tome 12 (2004), pp. 237-247 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

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In 1970, M. Gerstenhaber introduced a list of axioms defining Moore categories in order to develop the Baer Extension Theory. In this paper, we study some implications between the axioms and compare them with more recent notions, showing that, apart from size restrictions, a Moore category is a pointed, strongly protomodular and Barr-exact category with cokernels.

Classification : 18E10, 18A30
Keywords: short exact sequence, normal object, protomodular category, strongly protomodular category, Barr-exact category, Moore category 
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     url = {http://geodesic.mathdoc.fr/item/TAC_2004_12_a5/}
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Diana Rodelo. Moore Categories. Theory and applications of categories, Tome 12 (2004), pp. 237-247. http://geodesic.mathdoc.fr/item/TAC_2004_12_a5/