Universal central extensions in semi-abelian categories

Casas, José Manuel;Van der Linden, Tim
(2014) Applied Categorical Structures : a journal devoted to applications of categorical methods in algebra, analysis, order, topology and computer science — Vol. 22, p. 253-268 (2014)

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Abstract
Basing ourselves on Janelidze and Kelly’s general notion of central exten- sion, we study universal central extensions in the context of semi-abelian categories. We consider a new fundamental condition on composition of central extensions and give examples of categories which do, or do not, satisfy this condition.
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Casas, J. M., & Van der Linden, T. (2014). Universal central extensions in semi-abelian categories. Applied Categorical Structures : a journal devoted to applications of categorical methods in algebra, analysis, order, topology and computer science, 22, 253-268. https://doi.org/10.1007/s10485-013-9304-0 (Original work published 2014)