A note on connected cofiltered coalgebras, conilpotent coalgebras and Hopf algebras
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
