On fixed edges of antitone self-mappings of complete lattices.
On fixed points of maximalizing mappings in posets.
On generating of relations
On ideals in De Morgan residuated lattices
In this paper, we introduce a new class of residuated lattices called De Morgan residuated lattices, we show that the variety of De Morgan residuated lattices includes important subvarieties of residuated lattices such as Boolean algebras, MV-algebras, BL-algebras, Stonean residuated lattices, MTL-algebras and involution residuated lattices. We investigate specific properties of ideals in De Morgan residuated lattices, we state the prime ideal theorem and the pseudo-complementedness of the ideal...
On infinitely distributive ordered sets
On isotone and homomorphic mappings
On limits in complete semirings.
On metric σ-discrete spaces
By studying dimensional types of metric scattered spaces, we consider the wider class of metric σ-discrete spaces. Applying techniques relevant to this wider class, we present new proofs of some embeddable properties of countable metric spaces in such a way that they can be generalized onto uncountable metric scattered spaces. Related topics are also explored, which gives a few new results.
On modularity in lattices of congruences on ordered sets
On multilattices with isomorphic graphs
On order and betweenness compatibility.
On order and geodesic alignment of a connected bigraph
On posets with isomorphic interval posets
On regularity classes of binary relations
On relations
On representation of cyclically ordered sets
On some hypotheses concerning trees.
On some minimal problem
On Tabor's problem concerning a certain quasi-ordering of iterative roots of functions.
On ternary semigroups of homomorphisms of ordered sets
The paper deals with the characterization of ordered sets by means of ternary semigroups of homomorphisms of ordered sets.