Ramsey-type theorems
Random posets, lattices, and lattices terms
Algorithms for generating random posets, random lattices and random lattice terms are given.
Rechtsteilweise geordnete Halbgruppen
Regularity and transitivity of local-automorphism semigroups of locally finite forests
Relative polars in ordered sets
In the paper, the notion of relative polarity in ordered sets is introduced and the lattices of -polars are studied. Connections between -polars and prime ideals, especially in distributive sets, are found.
Relatively complemented ordered sets
We investigate conditions for the existence of relative complements in ordered sets. For relatively complemented ordered sets with 0 we show that each element b ≠ 0 is the least one of the set of all upper bounds of all atoms contained in b.
Relatively pseudocomplemented posets
We extend the notion of a relatively pseudocomplemented meet-semilattice to arbitrary posets. We show some properties of the binary operation of relative pseudocomplementation and provide some corresponding characterizations. We show that relatively pseudocomplemented posets satisfying a certain simple identity in two variables are join-semilattices. Finally, we show that every relatively pseudocomplemented poset is distributive and that the converse holds for posets satisfying the ascending chain...
Remark on partially ordered sets, universal algebras and semigroups
Remarks about measures on orthomodular posets
Remarks on cellularity in products
Remarks on isomorphisms of regressive transformation semigroups.
Remarks on the order for quantum observables
Remarks to a modification of Ramsey-type theorems
Remarques sur les propriétés métriques des ensembles ordonnés
Representable posets and their order components
Représentation de quasi-ordres et de relations probabilistes transitives sous forme standard et méthodes d'approximation
Representation of ordered classes by classes of connected unary algebras
Représentations indécomposables des ensembles ordonnés
Representations of bipartite completed posets.
Representations of locally distributive lattices