Characteristic subobjects in semi-abelian categories

Cigoli, Alan Stefano;Montoli, Andrea
(2015) Theory and Applications of Categories —

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  • Cigoli, Alan Stefanoorcid-logoUCLouvain
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  • Montoli, AndreaUniversity of Coimbra
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Abstract
We extend to semi-abelian categories the notion of characteristic subob- ject, which is widely used in group theory and in the theory of Lie algebras. Moreover, we show that many of the classical properties of characteristic subgroups of a group hold in the general semi-abelian context, or in stronger ones.
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Cigoli, A. S., & Montoli, A. (2015). Characteristic subobjects in semi-abelian categories. Theory and Applications of Categories. https://hdl.handle.net/2078.5/54320