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2 results on '"18E40, 18E10, 20J99, 16T05, 16S40"'

1. A torsion theory in the category of cocommutative Hopf algebras

Author

Gran, Marino, Kadjo, Gabriel, and Vercruysse, Joost

Subjects
Mathematics - Category Theory, Mathematics - Quantum Algebra, Mathematics - Rings and Algebras, 18E40, 18E10, 20J99, 16T05, 16S40
Abstract

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.

Published
2015
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2. A torsion theory in the category of cocommutative Hopf algebras

Author

Joost Vercruysse, Marino Gran, Gabriel Kadjo, and UCL - SST/IRMP - Institut de recherche en mathématique et physique

Subjects
Pure mathematics, General Computer Science, Semi-abelian category, Category of groups, 01 natural sciences, Theoretical Computer Science, QA150, Mathematics::K-Theory and Homology, Torsion theory, Mathematics::Category Theory, 0103 physical sciences, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), Category Theory (math.CT), 0101 mathematics, Mathematics, Algebra and Number Theory, 010102 general mathematics, Mathematics - Category Theory, 18E40, 18E10, 20J99, 16T05, 16S40, torsion theory, Mathematics - Rings and Algebras, Hopf algebra, Rings and Algebras (math.RA), Torsion (algebra), 010307 mathematical physics, cocommutative Hopf algebra
Abstract

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.

Published
2015

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