Triple Cohomology of Lie-Rinehart Algebras and the Canonical Class of Associative Algebras

J. M. Casas, M. Ladra, T. Pirashvili

We 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} prov…