A Note on Coseparable Coalgebras

Details A Note on Coseparable Coalgebras A Note on Coseparable Coalgebras

2008-03-10

arxiv.org/abs/0803.1428v1

Mathematics

Rings and Algebras

Submitted

Scientific paper

Given a coalgebra $C$ over a commutative ring $R,$ we show that $C$ can be
considered as a (not necessarily counital) $C^{\ast op}$-coring. Moreover, we
show that this coring has a left (right) counity if and only if $C$ is
coseparable as an $R$-coalgebra.

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