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math.CT2013★ 22 cited
On the normality of Higgins commutators
Alan S. Cigoli, James R. A. Gray, Tim Van der Linden
In a semi-abelian context, we study the condition (NH) asking that Higgins commutators of normal subobjects are normal subobjects. We provide examples of categories that do or do n…
math.CT2013
Characteristic subobjects in semi-abelian categories
Alan S. Cigoli, Andrea Montoli
We extend to semi-abelian categories the notion of characteristic subobject, which is widely used in group theory and in the theory of Lie algebras. Moreover, we show that many of…