2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/156585Given 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.SubmittedRings and AlgebrasQuantum Algebra16W30text