An analysis of GCD and LCM matrices via the -factorization.
An introduction to the theory of -semilattices.
Analyse hiérarchique des préférences et généralisations de la transitivité
Annihilator-preserving congruence relations in distributive nearlattices
In this note we give some new characterizations of distributivity of a nearlattice and we study annihilator-preserving congruence relations.
Applications galoisiennes proches d'une application entre treillis
Around a neutral element in a nearlattice
Atomicity of tolerance lattices
Biregular semigroups. II
Bisemilattices with five essentially binary polynomials
Bisemilattice-valued fuzzy sets.
Bivariate function algebras on Posets.
Brouwerian semilattices: The lattice of total subalgebras
Characterizations of effective sets and nonexpansive multipliers in conditionally complete and infinitely distributive partially ordered sets.
Characterizations of nonexpansive multipliers on partially ordered sets
Characterizations of the -distributive semilattice
The -distributive semilattice is characterized in terms of semiideals, ideals and filters. Some sufficient conditions and some necessary conditions for -distributivity are obtained. Counterexamples are given to prove that certain conditions are not necessary and certain conditions are not sufficient.
Commutative directoids with sectional involutions
The concept of a commutative directoid was introduced by J. Ježek and R. Quackenbush in 1990. We complete this algebra with involutions in its sections and show that it can be converted into a certain implication algebra. Asking several additional conditions, we show whether this directoid is sectionally complemented or whether the section is an NMV-algebra.
Commutative directoids with sectionally antitone bijections
We study commutative directoids with a greatest element, which can be equipped with antitone bijections in every principal filter. These can be axiomatized as algebras with two binary operations satisfying four identities. A minimal subvariety of this variety is described.
Comparing sets of the Baire space by means of general recursive operators
Completion of a class of topological semilattices, applications. (Complétion d'une classe de demi-treillis topologiques, applications.)
Congruence classes in Brouwerian semilattices
Brouwerian semilattices are meet-semilattices with 1 in which every element a has a relative pseudocomplement with respect to every element b, i. e. a greatest element c with a∧c ≤ b. Properties of classes of reflexive and compatible binary relations, especially of congruences of such algebras are described and an abstract characterization of congruence classes via ideals is obtained.