On a characterization of the lattice of -ideals of an ordered set
On a paper by Iqbalunnisa
On a Representation of Lattices by Congruence Relations
On algebraic closures of compact elements
On algebra-lattices
On binary coproducts of frames
The structure of binary coproducts in the category of frames is analyzed, and the results are then applied widely in the study of compactness, local compactness (continuous frames), separatedness, pushouts and closed frame homomorphisms.
On completion of cyclically ordered sets
On Conrad's partial order relation on semiprime rings and semigroups.
On contexts of direct products, ordinal sums and ordinal products
On extension of maps with values in ordered spaces
On fixed edges of antitone self-mappings of complete lattices.
On lattices whose lattices of congruences are Stone lattice
On -algebraic closures of -compact elements
On Raney's theorems for completely distributive complete lattices
On semimodular lattices of generating systems
On the Chinese remainder theorem of H. Draškovičová
On the complementation of relatively complemented distributive lattices
On the completion of a lattice by ends
On the lattice of convex subsets of a partial monounary algebra
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.