A note on connected cofiltered coalgebras, conilpotent coalgebras and Hopf algebras
Rings and Algebras
2022-09-20 v1 Quantum Algebra
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.
Keywords
Cite
@article{arxiv.1911.02429,
title = {A note on connected cofiltered coalgebras, conilpotent coalgebras and Hopf algebras},
author = {Xing Gao and Li Guo},
journal= {arXiv preprint arXiv:1911.02429},
year = {2022}
}
Comments
8 pages