2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/156052In this paper, we investigate semisimplicity of cellular algebras over positive characteristic fields. Our main result shows that the Frame number of cellular algebras characterizes semisimplicity of it. In a sense, this is a generalization of Maschke's theorem.CombinatoricsSemisimplicity of cellular algebras over positive characteristic fieldstext