Lattices in generative classes
Y. Kiouvrekis, Petros Sotirios Stefaneas, Sergey Vladimirovich Sudoplatov · Sibirskie Elektronnye Matematicheskie Izvestiya · 2019
We define and study lattices in generative classes associated with generic structures.It is shown that these lattices can be non-distributive and, moreover, arbitrary enough.Heights and wights of the lattices are described.A model-theoretic criterion for the linear ordering is proved and these linear orders are described.Boolean algebras generated by the considered lattices are also described.