Generalized join-hemimorphisms on Boolean algebras

Generalized Join-hemimorphisms on Boolean Algebras

We introduce the notions of generalized join-hemimorphism and generalized Boolean relation as an extension of the notions of join-hemimorphism and Boolean relation, respectively. We prove a duality between these two notions.Wewill also define a generalization of the notion of Boolean algebra with operators by considering a finite family of Boolean algebras endowed with a generalized join-hemimo...

Sequential Convergences on Generalized Boolean Algebras

In this paper we investigate convergence structures on a generalized Boolean algebra and their relations to convergence structures on abelian lattice ordered groups.

Wreath Product Action on Generalized Boolean Algebras

Let G be a finite group acting on the finite set X such that the corresponding (complex) permutation representation is multiplicity free. There is a natural rank and order preserving action of the wreath product G ∼ Sn on the generalized Boolean algebra BX(n). We explicitly block diagonalize the commutant of this action.

Continuum Cardinals Generalized to Boolean Algebras

Measures on Boolean algebras

We present a necessary and sufficient condition for a Boolean algebra to carry a finitely additive measure.