Geodesic
Baer invariants in semi-abelian categories I: General theory
Theory and applications of categories, Tome 12 (2004), pp. 1-33.

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

Extending the work of Fröhlich, Lue and Furtado-Coelho, we consider the theory of Baer invariants in the context of semi-abelian categories. Several exact sequences, relative to a subfunctor of the identity functor, are obtained. We consider a notion of commutator which, in the case of abelianization, corresponds to Smith's. The resulting notion of centrality fits into Janelidze and Kelly's theory of central extensions. Finally we propose a notion of nilpotency, relative to a Birkhoff subcategory of a semi-abelian category.
Classification : Primary 20J05, Secondary 18E10 18G50.
Keywords: Baer invariant, exact, protomodular, semi-abelian category, centrality, nilpotency 
@article{TAC_2004_12_a0,
     author = {T. Everaert and T. Van der Linden},
     title = {Baer invariants in semi-abelian categories {I:} {General} theory},
     journal = {Theory and applications of categories},
     pages = {1--33},
     publisher = {mathdoc},
     volume = {12},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2004_12_a0/}
}
TY  - JOUR
AU  - T. Everaert
AU  - T. Van der Linden
TI  - Baer invariants in semi-abelian categories I: General theory
JO  - Theory and applications of categories
PY  - 2004
SP  - 1
EP  - 33
VL  - 12
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TAC_2004_12_a0/
LA  - en
ID  - TAC_2004_12_a0
ER  - 
%0 Journal Article
%A T. Everaert
%A T. Van der Linden
%T Baer invariants in semi-abelian categories I: General theory
%J Theory and applications of categories
%D 2004
%P 1-33
%V 12
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TAC_2004_12_a0/
%G en
%F TAC_2004_12_a0
T. Everaert; T. Van der Linden. Baer invariants in semi-abelian categories I: General theory. Theory and applications of categories, Tome 12 (2004), pp. 1-33. http://geodesic.mathdoc.fr/item/TAC_2004_12_a0/