#
On the Cohomology Comparison Theorem

##
Alin Stancu

A relative derived category for the category of modules over a
presheaf of algebras is constructed to identify the relative Yoneda
and Hochschild cohomologies with its homomorphism groups. The
properties of a functor between this category and the relative
derived category of modules over the algebra associated to the
presheaf are studied. We obtain a generalization of the $Special$
$Cohomology$ $Comparison$ $Theorem$ of M. Gerstenhaber and S. D. Schack.

Journal of Homotopy and Related Structures, Vol. 6(2011), No. 1, p. 39-63