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Universal central extensions in peri-abelian categories

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Van Der Linden, Tim [UCL]

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.

Document type Communication à un colloque (Conference Paper) – Présentation orale avec comité de sélection
Access type Accès restreint
Publication date 2013
Language Anglais
Conference "1st Workshop on Categorical Methods in Non Abelian Algebra", Coimbra Portugal (du 07/02/2013 au 09/02/2013)
Affiliation UCL - SST/IRMP - Institut de recherche en mathématique et physique
Links
Bibliographic reference Van Der Linden, Tim. Universal central extensions in peri-abelian categories.1st Workshop on Categorical Methods in Non Abelian Algebra (Coimbra Portugal, du 07/02/2013 au 09/02/2013).
Permanent URL http://hdl.handle.net/2078.1/128234