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A Torsion Theory in the Category of Cocommutative Hopf Algebras

par Gran, Marino;Kadjo, Gabriel ;Vercruysse, Joost
Référence Applied categorical structures, 24, 3, page (269-282)
Publication Publié, 2016-06

Article révisé par les pairs

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Résumé :

The purpose of this article is to prove that the category of cocommutative Hopf K-algebras, over a field K of characteristic zero, is a semi-abelian category. Moreover, we show that this category is action representable, and that it contains a torsion theory whose torsion-free and torsion parts are given by the category of groups and by the category of Lie K-algebras, respectively.