Universal central extensions in peri-abelian categories

Van Der Linden, Tim
(2013) 1st Workshop on Categorical Methods in Non Abelian Algebra — Location: Coimbra Portugal (7.February.2013)

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  • Van Der Linden, TimUCLouvain
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Abstract
We clarify the relation between Bourn's notion of peri-abelian category on the one hand and coincidence of the Smith, Huq and Higgins commutators on the other. Next, peri-abelian categories are shown to form a good context for the general theory of universal central extensions: all peri-abelian categories satisfy the condition (UCE) considered in joint work with Casas; and via a result of Cigoli, all categories of interest in Orzech's sense are examples.
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Van Der Linden, T. (2013). Universal central extensions in peri-abelian categories. 1st Workshop on Categorical Methods in Non Abelian Algebra, Coimbra Portugal. https://hdl.handle.net/2078.5/205486