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Title: A note on two commutators
Authors: Martins-Ferreira, Nelson 
Van der Linden, Tim 
Keywords: Commutator; Internal re exive graph; Star-multiplication; Groupoid; Protomodular category; Semi-abelian category
Issue Date: 2009
Publisher: Centro de Matemática da Universidade de Coimbra
Citation: Pré-Publicações DMUC. 09-47 (2009)
Serial title, monograph or event: Pré-Publicações DMUC
Issue: 09-47
Place of publication or event: Coimbra
Abstract: We show that two known conditions which naturally arose in commutator theory and in the theory of internal crossed modules coincide: every starmultiplicative graph is multiplicative if and only if every two e ective equivalence relations commute as soon as so do their normalisations. This answers a question asked by George Janelidze.
Rights: openAccess
Appears in Collections:FCTUC Matemática - Vários

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