Central extensions and internal groupoids in Maltsev categories

Gran, Marino
(2001) Journal of Pure and Applied Algebra — Vol. 155, n° 2-3, p. 139-166 (2001)

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Abstract
We give a description of several classes of central extensions of the category of internal groupoids in an exact Maltsev category. These categorical results provide, in particular, a characterization of the central extensions of crossed modules and of crossed rings. We extend the description of central extensions to the category of internal double groupoids in an exact Maltsev category. (C) 2001 Elsevier Science B.V. All rights reserved. MSC. 18D35; 18E10; 20L17.
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Gran, M. (2001). Central extensions and internal groupoids in Maltsev categories. Journal of Pure and Applied Algebra, 155(2-3), 139-166. https://doi.org/10.1016/S0022-4049(99)00092-4 (Original work published 2001)