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.
On the automorphism group of the countable dense circular order
Let (C,R) be the countable dense circular ordering, and G its automorphism group. It is shown that certain properties of group elements are first order definable in G, and these results are used to reconstruct C inside G, and to demonstrate that its outer automorphism group has order 2. Similar statements hold for the completion C̅.
On the cancellation law for disconnected partially ordered sets
On The Essential Flats Of Geometric Lattices
On the essential of geometric lattices.
On the lattice of pronormal subgroups of dicyclic, alternating and symmetric groups
In this paper, the structures of collection of pronormal subgroups of dicyclic, symmetric and alternating groups are studied in respect of formation of lattices and sublattices of . It is proved that the collections of all pronormal subgroups of and S do not form sublattices of respective and , whereas the collection of all pronormal subgroups of a dicyclic group is a sublattice of . Furthermore, it is shown that and ) are lower semimodular lattices.
On the lattices of kernels of isotonic mappings. II