2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/119350We define a noncommutative differential calculus constructed from the inner derivation, then several relevant examples are showed. It is of interest to note that for certain $C^*$-algebra, this calculus is closely related to the classical one when the algebra associates a deformation parameter.Operator Algebras46L87; 47C15text