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Title: A new characterization of Goursat categories
Authors: Gran, Marino 
Rodelo, Diana 
Keywords: Goursat category; 3-by-3 Lemma; Pushouts; Mal'tsev condition
Issue Date: 2010
Publisher: Centro de Matemática da Universidade de Coimbra
Citation: Pré-Publicações DMUC. 10-10 (2010)
Serial title, monograph or event: Pré-Publicações DMUC
Issue: 10-10
Place of publication or event: Coimbra
Abstract: We present a new characterisation of Goursat categories in terms of special kind of pushouts, that we call Goursat pushouts. This allows one to prove that, for a regular category, the Goursat property is actually equivalent to the validity of the denormalised 3-by-3 Lemma. Goursat pushouts are also useful to clarify, from a categorical perspective, the existence of the quaternary operations characterising 3-permutable varieties
Rights: openAccess
Appears in Collections:FCTUC Matemática - Vários

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