2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/56245The general properties of the ordinary and generalized parafermionic algebras are discussed. The generalized parafermionic algebras are proved to be polynomial algebras. The ordinary parafermionic algebras are shown to be connected to the Arik-Coon oscillator algebras.12 pages, LaTeX. Presented at the International Conference on Mathematical Physics (Istanbul 1997). To appear in the ProceedingsHigh Energy Physics - Theorytext