Geodesic
Characteristic subobjects in semi-abelian categories
Theory and applications of categories, Tome 30 (2015), pp. 206-228

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

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.

Publié le :
Classification : 17B30, 17D99, 18C05, 08A30, 08C05
Keywords: characteristic subobject, semi-abelian categories, commutators, centralisers 
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     author = {Alan S. Cigoli and Andrea Montoli},
     title = {Characteristic subobjects in semi-abelian categories},
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     volume = {30},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2015_30_a6/}
}
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Alan S. Cigoli; Andrea Montoli. Characteristic subobjects in semi-abelian categories. Theory and applications of categories, Tome 30 (2015), pp. 206-228. http://geodesic.mathdoc.fr/item/TAC_2015_30_a6/