On varieties of regular -semigroups, II
On weak direct product decompositions of lattices and graphs
On weakly commutative poe-semigroups.
On -continuous tolerances of -distributive lattices
One simple result concerning imprimitivity relations of monoids of transformations and its applications.
One-variable equationally compact distributive lattices
Opérations dérivées des treillis orthomodulaire (Part 1)
Opérations dérivées des treillis orthomodulaires (Part 2)
Opérations dérivées des treillis orthomodulaires (Part 3)
Operatori di tipo su reticoli completi
Order affine completeness of lattices with Boolean congruence lattices
This paper grew out from attempts to determine which modular lattices of finite height are locally order affine complete. A surprising discovery was that one can go quite far without assuming the modularity itself. The only thing which matters is that the congruence lattice is finite Boolean. The local order affine completeness problem of such lattices easily reduces to the case when is a subdirect product of two simple lattices and . Our main result claims that such a lattice is locally...
Order convergence and compactness
Order Maps And Unique Fixed Points In Complete Lattices
Ordres "C.A.C."
Orthomodular lattices and closure operations in ordered vector spaces
On a non-trivial partially ordered real vector space (V,≤) the orthogonality relation is defined by incomparability and ζ(V,⊥) is a complete lattice of double orthoclosed sets. We say that A ⊆ V is an orthogonal set when for all a,b ∈ A with a ≠ b, we have a ⊥ b. In our earlier papers we defined an integrally open ordered vector space and two closure operations A → D(A) and . It was proved that V is integrally open iff for every orthogonal set A ⊆ V. In this paper we generalize this result. We...
Outer measure analysis of topological lattice properties.
Outer measures and associated lattice properties.
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...
Partially ordered sets with projections and their topology [Book]
Partially-additive monoids