For a complete theory of Boolean algebras T, let MT denote the class of countable models of T. For B1, B2 ∈ MT, let B1 ≤ B2 mean that B1 is elementarily embeddable in B2. Theorem 1. For every complete ...
This article is devoted to two different generalizations of projective Boolean algebras: openly generated Boolean algebras and tightly Ï­-filtered Boolean algebras. We show that for every uncountable ...