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arxiv: 1502.04001 · v2 · pith:H2GGSIRPnew · submitted 2015-02-13 · 🧮 math.CT · math.QA

On some properties of the category of cocommutative Hopf algebras

classification 🧮 math.CT math.QA
keywords algebrascategorycocommutativehopfpropertiessomeabeliancategoy
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By a recent work of Gran-Kadjo-Vercruysse, the category of cocommutative Hopf algebras over a field of characteristic zero is semi-abelian. In this paper, we explore some properties of this categoy, in particular we show that its abelian core is the category of commutative and cocommutative Hopf algebras.

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