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Bourbaki's Fixpoint Lemma reconsidered
Bernhard Banaschewski (1992)
Commentationes Mathematicae Universitatis Carolinae
A constructively valid counterpart to Bourbaki’s Fixpoint Lemma for chain-complete partially ordered sets is presented to obtain a condition for one closure system in a complete lattice to be stable under another closure operator of . This is then used to deal with coproducts and other aspects of frames.
Brouwerian semilattices: The lattice of total subalgebras
Peter Köhler (1982)
Banach Center Publications
Bruhat intervals, polyhedral cones and Kazhdan-Lusztig-Stanley polynomials.
M.J. Dyer (1994)
Mathematische Zeitschrift
Calcul pratique du treillis de Galois d'une correspondance
J. P. Bordat (1986)
Mathématiques et Sciences Humaines
Cambrian fans
Nathan Reading, David E. Speyer (2009)
Journal of the European Mathematical Society
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
Ján Jakubík, Mária Csontóová (2000)
Mathematica Bohemica
In this note we deal with two-factor internal direct product decompositions of a connected partially ordered set.
Canonical ordering theorems, a first attempt
Nešetřil, J., Prömel, H. J., Rödl, V., Voigt, B. (1982)
Proceedings of the 10th Winter School on Abstract Analysis
Canonical partition theorems for finite distributive lattices
Prömel, H. J., Voigt, B. (1982)
Proceedings of the 10th Winter School on Abstract Analysis
Cantor extension of a mixed product of directed groups
Štefan Černák (1976)
Mathematica Slovaca
Caractérisation du type d'ordre des barrières de Nash-Williams
Marc Assous (1974)
Publications du Département de mathématiques (Lyon)
Caractérisations axiomatiques de la distance de la différence symétrique entre des relations binaires
Jean-Pierre Barthelemy (1979)
Mathématiques et Sciences Humaines
Cardinal and ordinal arithmetics of -ary relational systems and -ary ordered sets
Jiří Karásek (1998)
Mathematica Bohemica
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
Jarmila Lisá (1973)
Commentationes Mathematicae Universitatis Carolinae
Catégorie et -catégorie des ensembles ordonnés
R. Bonnet (1971)
Publications du Département de mathématiques (Lyon)
Categories of orthomodular posets
Pavel Pták (1985)
Mathematica Slovaca
Certain partial orders on semigroups
Mario Petrich (2001)
Czechoslovak Mathematical Journal
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
Fred Galvin (1980)
Fundamenta Mathematicae
Chain polynomials of distributive lattices are 75% unimodal.
Björner, Anders, Farley, Jonathan David (2005)
The Electronic Journal of Combinatorics [electronic only]
Chaînes d'idéaux et de sections initiales d'un ensemble ordonné
Nejib Zaguia (1983)
Publications du Département de mathématiques (Lyon)