2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152337Some new connections are given between linear orderings and triangular operator algebras. A lexicograhic product is defined for triangular operator algebras and the Jacobson radical of an infinite lexicographic product of upper triangular matrix algebras is determined.6 pages, LatexFunctional AnalysisOperator Algebrastext