  I show that each etale n-cohomology class on noetherian schemes comes from a
Cech cocycle, provided that any n-tuple of points admits an affine open
neighborhood. Together with results of Raeburn and Taylor on the bigger Brauer
group, this implies that for schemes such that each pair of points admits an
affine open neighborhood, any etale G_m-gerbe comes from a central separable
algebra. Such algebras are nonunital generalizations of Azumaya algebras. I
also prove that, on normal noetherian schemes, each Zariski G_m-gerbe comes
from a central separable algebra.
