A Galois theory for linear topological rings

Bryce L. Elkins

Vol. 51 (1974), No. 1, 89–107

DOI: 10.2140/pjm.1974.51.89

Abstract

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.

Mathematical Subject Classification 2000

Primary: 13B05

Secondary: 13J10

Milestones

Received: 22 November 1972

Published: 1 March 1974