2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/111488We classify finite dimensional division real associative $\mathcal{Z}_2$-algebras, introduce composition $\mathcal{Z}_2$-algebras, and extend the Campbell-Baker-Hausdorff series and Lie correspondence in the context of linear Hu-Liu Leibniz algebras.6 pagesRings and Algebras17B99Number-Like Objects and the Extended Lie Correspondencetext