On an axiom concerning the theory of “interval orders”.
On automorphism groups of cyclically ordered sets.
On Banach's fixed point theorem and formal balls.
On blockers in bounded posets.
On chains and posets within the power set of a continuum.
On completion of cyclically ordered sets
On convexly isomorphic posets
On dense subsets of rational numbers
On determination of a cyclic order
On direct and subdirect product decompositions of partially ordered sets
On direct product decompositions of directed sets
On distances and metrics in discrete ordered sets
Discrete partially ordered sets can be turned into distance spaces in several ways. The distance functions may or may not satisfy the triangle inequality and restrictions of the distance to finite chains may or may not coincide with the natural, difference-of-height distance measured in a chain. It is shown that for semilattices the semimodularity ensures the good behaviour of the distances considered. The Jordan-Dedekind chain condition, which is weaker than semimodularity, is equivalent to the...
On extended cyclic orders
On extensions of cyclic orders
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