On convex constructions in lattices
On convex linearly ordered subgroups of an -group
On convexities of -groups
On convexities of lattices
On convexly isomorphic posets
On coverings in the lattice of all group topologies of arbitrary Abelian groups.
On coverings of random graphs
On covers in the lattice of representable -varieties
On cut completions of abelian lattice ordered groups
We denote by the class of all abelian lattice ordered groups such that each disjoint subset of is finite. In this paper we prove that if , then the cut completion of coincides with the Dedekind completion of .
On cyclic symmetric Heyting algebras.
On -algebras
On -ideals in -algebras
On -subalgebras of -transitive -algebras
On dense subsets of rational numbers
On derivations of quantales
A quantale is a complete lattice equipped with an associative binary multiplication distributing over arbitrary joins. We define the notions of right (left, two) sided derivation and idempotent derivation and investigate the properties of them. It’s well known that quantic nucleus and quantic conucleus play important roles in a quantale. In this paper, the relationships between derivation and quantic nucleus (conucleus) are studied via introducing the concept of pre-derivation.
On determination of a cyclic order
On differences of Riesz homomorphisms.
On dilations and contractions in Riesz groups
On Dilworth's coding Theorem.
On direct and subdirect product decompositions of partially ordered sets