2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78244A class of algebras called down-up algebras was introduced by G. Benkart and T. Roby. We classify the finite dimensional simple modules over Noetherian down-up algebras and show that in some cases every finite dimensional module is semisimple. We also study the question of when two down-up algebras are isomorphic.23 pages, AMS LatexRepresentation TheoryRings and Algebras16P40text