Figallo, Aldo V.; Jiménez, María A. A topological duality for \(M_3\)-lattices. (English) Zbl 1438.06032 An. Univ. Craiova, Ser. Mat. Inf. 45, No. 2, 174-189 (2018). 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 Keywords:\(M_3\)-lattices; Priestley duality; congruences; subdirectly irreducible algebras Citations:Zbl 0658.06005 PDFBibTeX XMLCite \textit{A. V. Figallo} and \textit{M. A. Jiménez}, An. Univ. Craiova, Ser. Mat. Inf. 45, No. 2, 174--189 (2018; Zbl 1438.06032)