Higher Degrees of Distributivity in MV-Algebras
Ján Jakubík · Czechoslovak Mathematical Journal · 2003
In this paper we deal with the (α, β)-distributivity of an MV-algebra $$\mathcal{E}$$ , where α and β are nonzero cardinals. It is proved that if $$\mathcal{E}$$ is singular and (α, 2)-distributive, then it is (α, α)-distributive. We show that if $$\mathcal{E}$$ is complete then it can be represented as a direct product of MV-algebras which are homogeneous with respect to higher degrees of distributivity.