Characteristic subobjects in semi-abelian categories

2013/11/21 by Alan S. Cigoli, Cigoli, Alan S., Andrea Montoli +1 · 2 citations
Mathematics · #Category Theory (math.CT) #FOS: Mathematics #Rings and Algebras (math.RA) #math.CT #math.RA

paper · pdf · doi:10.48550/arxiv.1311.5494

arxiv created 2013/11/21 · arxiv updated 2013/11/22

Abstract

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 the classical properties of characteristic subgroups of a group hold in the general semi-abelian context, or in stronger ones.

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• Categorical-algebraic aspects of Heyting semilattices
• Torsion Theories in a Non-pointed Context

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