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On categories with semidirect products
Martins-Ferreira, Nelson; Sobral, ManuelaWe characterize pointed categories having semidirect products in the sense of D. Bourn and G. Janelidze ([3]) providing necessary and sufficient conditions for a pointed category to admit semidirect products and interpreting these conditions in terms of protomodularity and exactness of certain split chains.
Data: 2010
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Origem: Estudo Geral - Universidade de Coimbra
A note on two commutators
Martins-Ferreira, Nelson; Van der Linden, TimWe 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.
Data: 2009
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Origem: Estudo Geral - Universidade de Coimbra
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