# Quasi coherent sheaf

One really stupid, trivial question: A Quasi coherent sheaf $F$ on an affine group scheme(Spec R) is simply an R-module. What happens in case R is a Hopf algebra? Will the Q.coherent sheaf $F$ be an algebra in this case?

• A quasi-coherent sheaf on $Spec(R)$ corresponds to a $R$-module; this has nothing to do with extra structures like group schemes. Or what condition do you impose on the sheaf in this situation? – Martin Brandenburg Oct 10 '10 at 21:29