Induced pseudoorders
Inklusions- und Abstimmungssysteme.
Interpolative Relations and Interpolative Preference Structures
Joins of congruences in -groups
-common consequents in Boolean matrices
Kappa-Slender Modules
For an arbitrary infinite cardinal , we define classes of -cslender and -tslender modules as well as related classes of -hmodules and initiate a study of these classes.
-multifunctions and their properties.
Large free set
Liaisons entre les S-relations et les relations de ferrers. Représentations
MAD families and the rationals
Rational numbers are used to classify maximal almost disjoint (MAD) families of subsets of the integers. Combinatorial characterization of indestructibility of MAD families by the likes of Cohen, Miller and Sacks forcings are presented. Using these it is shown that Sacks indestructible MAD family exists in ZFC and that implies that there is a Cohen indestructible MAD family. It follows that a Cohen indestructible MAD family is in fact indestructible by Sacks and Miller forcings. A connection with...
Marczewski-Burstin Representations of Boolean Algebras Isomorphic to a Power Set
The paper contains some sufficient conditions for Marczewski-Burstin representability of an algebra 𝓐 of sets which is isomorphic to 𝓟(X) for some X. We characterize those algebras of sets which are inner MB-representable and isomorphic to a power set. We consider connections between inner MB-representability and hull property of an algebra isomorphic to 𝓟 (X) and completeness of an associated quotient algebra. An example of an infinite universally MB-representable algebra is given.
Metrics and tolerances
Minimal compatible tolerances on lattices
Mixed pseudo-associativities of Bandler-Kohout compositions of relations
This paper considers compositions of relations based on the notion of the afterset and the foreset, i. e., the subproduct, the superproduct and the square product introduced by Bandler and Kohout with modification proposed by De Baets and Kerre. There are proven all possible mixed pseudo-associativity properties of Bandler – Kohout compositions of relations.
Monotonic mappings on ordered sets, a class of inequalities with finite differences and fixed points.
Multiabbildungen und Anordnungen der Mengen
Non-Baire unions in category bases.
Note on compatible binary relations on algebras
Notes on lattice congruences
On a Generalization of Permutable Equivalence Relations