Triple construction of semilattices with admitting neutral -closure operators
Trois propriétés des médianes dans un treillis modulaire
Two extension theorems. Modular functions on complemented lattices
We prove an extension theorem for modular functions on arbitrary lattices and an extension theorem for measures on orthomodular lattices. The first is used to obtain a representation of modular vector-valued functions defined on complemented lattices by measures on Boolean algebras. With the aid of this representation theorem we transfer control measure theorems, Vitali-Hahn-Saks and Nikodým theorems and the Liapunoff theorem about the range of measures to the setting of modular functions on complemented...
Two-valued states on a concrete logic and the additivity problem
Type d'homotopie des treillis et treillis des sous-groupes d'un groupe fini.