We define homotopy Lie-Rinehart pairs and the associated homotopy Rinehart algebra in the context of coalgebras. We define homotopy Lie-Rinehart resolutions and present conditions under which the associated homotopy Rinehart algebra is a cohomological model for the Rinehart algebra of the resolved Lie-Rinehart pair.
Homology, Homotopy and Applications, Vol. 3, 2001, No. 7, pp. 139-163
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