Alizadeh, Majid; Ledda, Antonio; Freytes, Hector Completion and amalgamation of bounded distributive quasi lattices. (English) Zbl 1221.06015 Log. J. IGPL 19, No. 1, 110-120 (2011). The concept of a quasilattice was introduced by I. Chajda in [“Lattices in quasiordered sets”, Acta Univ. Palacki. Olomuc., Fac. Rerum Nat. 105, Math. 31, 6–12 (1992; Zbl 0773.06002)], where the basic concepts and properties are shown. The authors present a series of nice results concerning bounded distributive quasilattices. They show that every such quasilattice \(A\) can be represented as a quasilattice of certain mappings from \(A\) into a three-element quasilattice. For this, they use a modification of Priestley duality. They prove that the variety of bounded distributive quasilattices has the amalgamation property and the congruence extension property. Reviewer: Ivan Chajda (Přerov) MSC: 06D75 Other generalizations of distributive lattices 06B20 Varieties of lattices Keywords:quasi-lattice; completion; amalgamation property Citations:Zbl 0773.06002 PDFBibTeX XMLCite \textit{M. Alizadeh} et al., Log. J. IGPL 19, No. 1, 110--120 (2011; Zbl 1221.06015) Full Text: DOI Link