Cancellation rule for internal direct product decompositions of a connected partially ordered set
In this note we deal with two-factor internal direct product decompositions of a connected partially ordered set.
Canonical ordering theorems, a first attempt
Canonical partition theorems for finite distributive lattices
Cantor extension of a mixed product of directed groups
Caractérisations axiomatiques de la distance de la différence symétrique entre des relations binaires
Catégorie et -catégorie des ensembles ordonnés
Categories of orthomodular posets
Certain partial orders on semigroups
Relations introduced by Conrad, Drazin, Hartwig, Mitsch and Nambooripad are discussed on general, regular, completely semisimple and completely regular semigroups. Special properties of these relations as well as possible coincidence of some of them are investigated in some detail. The properties considered are mainly those of being a partial order or compatibility with multiplication. Coincidences of some of these relations are studied mainly on regular and completely regular semigroups.
Chain conditions and products
Chaînes d'idéaux et de sections initiales d'un ensemble ordonné
Chaines maximales de préordres.
Chapitre II Chaînes d'idéaux d'un ensemble ordonné
Characteristic for reflexive relations.
Characterization of a full set of probabilities on some posets.
Characterization of all order relations in direct sums of ordered groups.
Characterization of distributive sets by generalized annihilators
Distributive ordered sets are characterized by so called generalized annihilators.
Characterization of lattices of convex subsets of posets
Characterization of posets of intervals
If is a class of partially ordered sets, let denote the system of all posets which are isomorphic to the system of all intervals of for some We give an algebraic characterization of elements of for being the class of all bounded posets and the class of all posets satisfying the condition that for each there exist a minimal element and a maximal element with respectively.
Characterizations of 0-distributive posets
The concept of a 0-distributive poset is introduced. It is shown that a section semicomplemented poset is distributive if and only if it is 0-distributive. It is also proved that every pseudocomplemented poset is 0-distributive. Further, 0-distributive posets are characterized in terms of their ideal lattices.
Characterizations of certain classes of posets having Gs-lattices of a relatively small size