The congruence extension property for compact topological lattices

Albert Robert Stralka

Vol. 38 (1971), No. 3, 795–802

DOI: 10.2140/pjm.1971.38.795

Abstract

Let L be a compact, distributive topological lattice of finite breadth and let A be a closed sublattice of L. It is shown that every closed congruence on A can be extended to a closed congruence on L. An example is provided to show that the requirement of finite breadth cannot be deleted.

Mathematical Subject Classification

Primary: 06A35

Milestones

Received: 26 October 1970

Revised: 9 March 1971

Published: 1 September 1971