On the Deductive Strength of Various Distributivity Axioms for Boolean Algebras in Set Theory
Yasuo Kanai · Mathematical logic quarterly · 2002
In this article, we shall show the generalized notions of distributivity of Boolean algebras have essential relations with several axioms and properties of set theory, say the Axiom of Choice, the Axiom of Dependence Choice, the Prime Ideal Theorems, Martin's axioms, Lebesgue measurability and so on.