Rob EgrotMahidol University2019-08-232019-08-232018-03-01Annals of Pure and Applied Logic. Vol.169, No.3 (2018), 235-242016800722-s2.0-85034769734https://repository.li.mahidol.ac.th/handle/20.500.14594/46106© 2017 Elsevier B.V. Let m and n be cardinals with 3≤m,n≤ω. We show that the class of posets that can be embedded into a distributive lattice via a map preserving all existing meets and joins with cardinalities strictly less than m and n respectively cannot be finitely axiomatized.Mahidol UniversityMathematicsArticleSCOPUS10.1016/j.apal.2017.11.001