On normality relation and its generalization on lattices
On -ideals of groups of divisibility
On perspectivities in incidence geometries of grade n
On pseudocomplemented semilattices with Stone congruence lattices
On quasi-uniform space valued semi-continuous functions
F. van Gool [Comment. Math. Univ. Carolin. 33 (1992), 505–523] has introduced the concept of lower semicontinuity for functions with values in a quasi-uniform space . This note provides a purely topological view at the basic ideas of van Gool. The lower semicontinuity of van Gool appears to be just the continuity with respect to the topology generated by the quasi-uniformity , so that many of his preparatory results become consequences of standard topological facts. In particular, when the order...
On radical classes of Abelian linearly ordered groups
On Raney's theorems for completely distributive complete lattices
On reflexive closed set lattices
For a topological space , let denote the set of all closed subsets in , and let denote the set of all continuous maps . A family is called reflexive if there exists such that for every . Every reflexive family of closed sets in space forms a sub complete lattice of the lattice of all closed sets in . In this paper, we continue to study the reflexive families of closed sets in various types of topological spaces. More necessary and sufficient conditions for certain families of closed...
On regularity classes of binary relations
On ring theoretic lattice modules
On semimodular lattices of generating systems
On semisimple classes of Abelian linearly ordered groups
On separation properties in semilattices.
On skeletal and irreducible elements in tolerance lattices of finite distributive lattices
On skew lattices. I.
On skew lattices. II.
On some algebras connected with the theory of harmony
On some finite groupoids with distributive subgroupoid lattices
The aim of the paper is to show that if S(G) is distributive, and also G satisfies some additional condition, then the union of any two subgroupoids of G is also a subgroupoid (intuitively, G has to be in some sense a unary algebra).
On some Jordan-Hölder-Dedekind type theorems in lattices.
On some notions related to compactness for locales