The measure extension theorem for subadditive probability measures in orthomodular -continuous lattices
The one-block property in varieties of semigroups.
The Role of Halaš Identity in Orthomodular Lattices
We prove that a certain identity introduced by R. Halaš for classifying basic algebras can be used for characterizing orthomodular lattices in the class of ortholattices with antitone involutions on every principal filter.
The structure of transitive ordered permutation groups
We give some necessary and sufficient conditions for transitive -permutation groups to be -transitive. We also discuss primitive components and give necessary and sufficient conditions for transitive -permutation groups to be normal-valued.
The sums of closed subspaces in a topological linear space
Three Mal'cev Type Theorems and their Application
Tolerance extensions in distributive lattices
Tolerance modular varieties of semigroups
Tolerances and congruences on lattices
Topologies in atomic quantum logics
Treillis sous-modulaires, II
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.
Über die Wortlänge von Polynomfunktionen auf Verbänden.
Über endliche, ordnungsaffinvollständige Verbände.
Über gewisse Sätze vom Foulis-Holland-Typ in Boole'schen Zwerchverbänden.
Über modulare Verbände, die von einer endlichen halbgeordneten Menge frei erzeugt werden.