Separable algebras have been
studied recently by M. Auslander, D. Buchsbaum and Chase-Harrison-Rosenberg.
The question of a Galois theory for linear topological rings opposite to the Krull type
theory obtained in the above works was raised by H. Röhrl. In this paper, a Galois
theory relating the complete subalgebras of restricted type of a complete algebra
A to a set of subgroups of a discrete group G of automorphisms of A is
developed.