2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68183We introduce a bicomplex which computes the triple cohomology of Lie--Rinehart algebras. We prove that the triple cohomology is isomorphic to the Rinehart cohomology \cite{Ri} provided the Lie--Rinehart algebra is projective over the corresponding commutative algebra. As an application we construct a canonical class in the third dimensional cohomology corresponding to an associative algebra.K-Theory and HomologyDifferential Geometry18G60, 16W25, 17A99text