  We consider a natural variant of the Moyal-Weyl product and show that it
yields a functorial deformation of differential graded algebras and that we can
deform coalgebras in a similar way. The Moyal-Weyl deformation of graded
algebras has already been introduced by Fedosov \cite{Fe} and also appears in
\cite{Ge} as part of an $A_\infty$ structure, but we are not aware that the
analogous result for differential graded coalgebras already appeared in the
literature and discuss the Moyal-Weyl of the category of complexes as an
example.
