Semilattices having bialgebraic congruence lattices

Garr S. Lystad and Albert Robert Stralka

Vol. 85 (1979), No. 1, 131–143

DOI: 10.2140/pjm.1979.85.131

Abstract

The congruence lattice of a semilattice is algebraic (= compactly generated). In this paper those semilattices having bialgebraic congruence lattices are characterized. We are also able to characterize those semilattices having the stronger property that their congruence lattices support a compact, Hausdorff topology which makes them into topological lattices.

Mathematical Subject Classification 2000

Primary: 06A12

Secondary: 06B30

Milestones

Received: 28 January 1978

Revised: 13 September 1978

Published: 1 November 1979