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A topological duality for \(M_3\)-lattices. (English) Zbl 1438.06032

Summary: In this article we determine a topological duality for \(M_3\)-lattices, introduced by A. V. Figallo [Rev. Colomb. Mat. 21, No. 1, 95–105 (1987; Zbl 0658.06005)]. By means of this duality we describe the congruences and the subdirectly irreducible \(M_3\)-lattices and reach some of Figallo’s results in a different way.

MSC:

06D30 De Morgan algebras, Łukasiewicz algebras (lattice-theoretic aspects)
06D50 Lattices and duality

Citations:

Zbl 0658.06005
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