2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60050For a Lie-Rinehart algebra (A,L) such that, as an A-module, L is finitely generated and projective of finite constant rank, the relationship between generators of the Gerstenhaber bracket and connections on the highest A-exterior power of L given in an earlier paper arises from the canonical pairing between the exterior A-powers of L. Thus, given an exact generator for the corresponding Gerstenhaber algebra, the chain complex underlying the resulting Batalin-Vilkovisky algebra coincides with the Rinehart complex computing the corresponding Lie-Rinehart homology.8 pages, AMSTeX2.1Differential GeometryAlgebraic Geometry17B55 17B56 17B56 17B65 17B66 17B70 17B81 53C05 81T70text