Filter Topologies on MV-algebras II.

We show in this paper that the filter topology on an MV-chain is precisely the order topology when the filter is non-principal and has an infimum in the MV-chain. Then, we show that for an arbitrary MV-algebra A which is complete, the canonical monomorphism h of A into its subdirect product must be a continuous mapping. As a result, we give a sufficient condition for a complete MV-algebra equipped with the filter topology to be Hausdorff.