Covering graphs and subdirect decompositions of partially ordered sets
Coxeter classes of unitary reflection groups.
Cuts in cyclically ordered sets
Cycle-free cuts of mutual rank probability relations
It is well known that the linear extension majority (LEM) relation of a poset of size can contain cycles. In this paper we are interested in obtaining minimum cutting levels such that the crisp relation obtained from the mutual rank probability relation by setting to its elements smaller than or equal to , and to its other elements, is free from cycles of length . In a first part, theoretical upper bounds for are derived using known transitivity properties of the mutual rank probability...
Cyclically ordered sets
Cyclically ordered sets as partial algebras
A representation of cyclically ordered sets by means of partial semigroups with an additional unary operation is constructed.
-posets
Decompositions of directed sets with zero
Dénombrement des quasi-ordres sur un ensemble fini
Dense extensions of a partially ordered set.
Dense subsets of ordered sets
Some modifications of the definition of density of subsets in ordered (= partially ordered) sets are given and the corresponding concepts are compared.
Destroying precaliber : an application of a Δ-systems lemma for closed sets
Die Abgeschlossenheit der lexikographischen Summe in der Klasse distributiver Verbände
Die Abgeschlossenheit der lexikographischen Summe in der Klasse modularer Verbände
Die arithmetische Operation der Summe
Die arithmetischen Operationen für geordnete Mengen
Die Dimensionsformel in Halbordnungen.
Die Minimalbasis der Menge aller nicht in die projektive Ebene einbettbaren Graphen.
Dimension stable posets
Dimension theory for cyclically and cocyclically ordered sets