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arXiv · 1911.02429

A note on connected cofiltered coalgebras, conilpotent coalgebras and Hopf algebras

Xing Gao·Li Guo
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Abstract

This notes gives a proof that a connected coaugmented cofiltered coalgebra is a conilpotent coalgebra and thus a connected coaugmented cofiltered bialgebra is a Hopf algebra. This applies in particular to a connected coaugmented cograded coalgebra and a connected coaugmented cograded bialgebra.

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Xing Gao, Li Guo. 2019-11-06. A note on connected cofiltered coalgebras, conilpotent coalgebras and Hopf algebras. https://arxiv.org/abs/1911.02429

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