2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152246A Chern-Weil construction for extensions of Lie-Rinehart algebras is introduced. This generalizes the classical Chern-Weil construction in differential geometry and yields characteristic classes for arbitrary extensions of Lie-Rinehart algebras. Some examples arising from spaces with singularities and from foliations are given that cannot be treated by means of the classical Chern-Weil construction.AMSTeX 2.1, 30 pagesDifferential Geometrytext