2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58503In this paper we prove several theorems about the behavior of index of Lie algebras derived from associative algebras under tensor products of underlying associative algebras.16 pages, Latex 2eRepresentation TheoryRings and Algebras17B99 (Primary) 16G99 (Secondary)text