The Relative Structure of the Boolean Algebras which are not Atomic and Satisfy that ∨A∈B

Abstract:

      In this paper we discuss the structural relations between the Boolean algebras which are not atomic and satisfy that ∨A∈B and the Boolean algebras which are atomic or atomless, present the sufficient and necessary condition that any two Boolean algebras of this kind are isomorphic and draw a lot of corollary of it.