On isomorphisms of graphs of lattices
On joint distributions of observables
On Jónsson's theorem
A proof of Jonsson's theorem inspired by considering a natural topology on algebraic lattices is given.
On JP-semilattices of Begum and Noor
In recent papers, S. N. Begum and A. S. A. Noor have studied join partial semilattices (JP-semilattices) defined as meet semilattices with an additional partial operation (join) satisfying certain axioms. We show why their axiom system is too weak to be a satisfactory basis for the authors' constructions and proofs, and suggest an additional axiom for these algebras. We also briefly compare axioms of JP-semilattices with those of nearlattices, another kind of meet semilattices with a partial join...
On -radical classes of lattice ordered groups
On lattices determined up to isomorphisms by their graphs
On lattices embeddable into subsemigroup lattices. III: Nilpotent semigroups.
On lattices embeddable into subsemigroup lattices. V. Trees.
On lattices whose lattices of congruences are Stone lattice
On lattices with isomorphic interval lattices
On Lattices with Möbius Function ±1, 0.
On lattice-topological properties of general Wallman spaces.
On -algebraic closures of -compact elements
On -joint distribution
On midpoints in lattices
On modular set functions and measures
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 -fold implicative filters of lattice implication algebras.
On normal and strongly normal lattices.
On normal lattices and Wallman spaces.