On a characterization of the lattice of -ideals of an ordered set
On algebraic closures of compact elements
On closure operators on monoids
On interval decomposition lattices
Intervals in binary or n-ary relations or other discrete structures generalize the concept of interval in an ordered set. They are defined abstractly as closed sets of a closure system on a set V, satisfying certain axioms. Decompositions are partitions of V whose blocks are intervals, and they form an algebraic semimodular lattice. Lattice-theoretical properties of decompositions are explored, and connections with particular types of intervals are established.
On -algebraic closures of -compact elements
On matrix rapid filters
Galois-Tukey equivalence between matrix summability and absolute convergence of series is shown and an alternative characterization of rapid ultrafilters on ω is derived.
On M-operators of q-lattices
It is well known that every complete lattice can be considered as a complete lattice of closed sets with respect to appropriate closure operator. The theory of q-lattices as a natural generalization of lattices gives rise to a question whether a similar statement is true in the case of q-lattices. In the paper the so-called M-operators are introduced and it is shown that complete q-lattices are q-lattices of closed sets with respect to M-operators.
On semimodular lattices of generating systems
On the closed left ideals of the group algebra
On the compactification of closure algebras
On The Essential Flats Of Geometric Lattices
On the essential of geometric lattices.
On the lattices of kernels of isotonic mappings. II
On the pullback stability of a quotient map with respect to a closure operator.
On the relation between heterogeneous uniform 2-algebraic closure operators and heterogeneous algebras.
On the semigroup of closure operations.
On -operators in an arbitrary semigroup
Orthomodular ordered sets and orthogonal closure spaces