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.
On the lattice of semisimple classes of linearly ordered groups
On the lattice theory of function semi-norms.
On the order-completion of additive conjoint structures.
On the special context of independent sets
In this paper the context of independent sets is assigned to the complete lattice (P(M),⊆) of all subsets of a non-empty set M. Some properties of this context, especially the irreducibility and the span, are investigated.
On the tolerance extension property
One-variable equationally compact distributive lattices
Operatori di tipo su reticoli completi
Order Maps And Unique Fixed Points In Complete Lattices
Partial dcpo’s and some applications
We introduce partial dcpo’s and show their some applications. A partial dcpo is a poset associated with a designated collection of directed subsets. We prove that (i) the dcpo-completion of every partial dcpo exists; (ii) for certain spaces , the corresponding partial dcpo’s of continuous real valued functions on are continuous partial dcpos; (iii) if a space is Hausdorff compact, the lattice of all S-lower semicontinuous functions on is the dcpo-completion of that of continuous real valued...
Power series developments in lattice ordered semigroups.
Préfermeture sur un ensemble ordonné
Primární rozklady
Primes, coprimes and multiplicative elements
The purpose of this paper is to study conditions under which the restriction of a certain Galois connection on a complete lattice yields an isomorphism from a set of prime elements to a set of coprime elements. An important part of our study involves the set on which the way-below relation is multiplicative.
Projective and injective complete lattices
Properties of Prealgebraic Lattices Investigated by Means of Formal Concept Analysis
Quasi-complete ideal lattices
Regular and normal quantales
Regular elements in complete uniquely complemented lattices