  We study the combined effect of interactions and disorder on topological
order in one dimension. To this end we consider a generalized Kitaev chain
including fermion-fermion interactions and disorder in the chemical potential.
We determine the phase diagram by performing density-matrix renormalization
group calculations on the corresponding spin-1/2 chain. We find that moderate
disorder or repulsive interactions individually stabilize the topological
order, which remains valid for their combined effect. However, both repulsive
and attractive interactions lead to a suppression of the topological phase at
strong disorder.
