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We prove that Hochschild cohomology with coefficients in $A^*=Hom_k(A,k)$together with an $A$-structural map $\psi:A^* \otimes_A A^* \to A^*$ is aBatalin-Vilkovisky algebra. This applies to symmetric, Frobenius and monomialpath algebras.

Batalin-Vilkovisky structure on Hochschild cohomology with coefficients in the dual algebra