2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73428In this paper we prove that Loday--Quillen--Tsygan Theorem generalizes to the case of coalgebras. Specifically, we show that the Chevalley--Eilenberg--Lie homology of the Lie coalgebra of infinite matrices over a coassociative coalgebra $C$ is generated by the cyclic homology of the underlying coalgebra $C$ as an exterior algebra.LaTeX, 22 pagesK-Theory and Homologytext