Calcul pratique du treillis de Galois d'une correspondance
Cambrian fans
For a finite Coxeter group and a Coxeter element of ; the -Cambrian fan is a coarsening of the fan defined by the reflecting hyperplanes of . Its maximal cones are naturally indexed by the -sortable elements of . The main result of this paper is that the known bijection cl between -sortable elements and -clusters induces a combinatorial isomorphism of fans. In particular, the -Cambrian fan is combinatorially isomorphic to the normal fan of the generalized associahedron for . The rays...
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
Caractérisation du type d'ordre des barrières de Nash-Williams
Caractérisations axiomatiques de la distance de la différence symétrique entre des relations binaires
Cardinal and ordinal arithmetics of -ary relational systems and -ary ordered sets
The aim of this paper is to define and study cardinal (direct) and ordinal operations of addition, multiplication, and exponentiation for -ary relational systems. -ary ordered sets are defined as special -ary relational systems by means of properties that seem to suitably generalize reflexivity, antisymmetry, and transitivity from the case of or 3. The class of -ary ordered sets is then closed under the cardinal and ordinal operations.
Cardinal sums and direct products in Galois connections
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
Chain polynomials of distributive lattices are 75% unimodal.
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.