On some partial orders associated to generic initial ideals.
Snellman, Jan (1999)
Séminaire Lotharingien de Combinatoire [electronic only]
J. Mayer, Miroslav Novotný (1965)
Archivum Mathematicum
Dohmen, Klaus (1999)
The Electronic Journal of Combinatorics [electronic only]
Milan Sekanina (1982)
Banach Center Publications
Kovacec, A. (1993)
Portugaliae mathematica
Jaroslav Beránek, Jan Chvalina (1990)
Aequationes mathematicae
Antoni Chronowski (1994)
Archivum Mathematicum
The paper deals with the characterization of ordered sets by means of ternary semigroups of homomorphisms of ordered sets.
J. K. Truss (2009)
Fundamenta Mathematicae
Let (C,R) be the countable dense circular ordering, and G its automorphism group. It is shown that certain properties of group elements are first order definable in G, and these results are used to reconstruct C inside G, and to demonstrate that its outer automorphism group has order 2. Similar statements hold for the completion C̅.
Matthew Dyer (1991)
Compositio Mathematica
Ján Jakubík, Judita Lihová (2004)
Mathematica Slovaca
Josef Zapletal (1974)
Archivum Mathematicum
Dias da Silva, J.A. (1980)
Portugaliae mathematica
R. M. Green (2010)
Commentationes Mathematicae Universitatis Carolinae
We use categories to recast the combinatorial theory of full heaps, which are certain labelled partially ordered sets that we introduced in previous work. This gives rise to a far simpler set of definitions, which we use to outline a combinatorial construction of the so-called loop algebras associated to affine untwisted Kac--Moody algebras. The finite convex subsets of full heaps are equipped with a statistic called parity, and this naturally gives rise to Kac's asymmetry function. The latter is...
Jürg Schmid (1973)
Fundamenta Mathematicae
Podzorov, S.Yu. (2006)
Sibirskij Matematicheskij Zhurnal
Smith, Jonathan D.H. (2003)
Beiträge zur Algebra und Geometrie
Sapounakis, A., Tasoulas, I., Tsikouras, P. (2006)
Journal of Integer Sequences [electronic only]
Dragan M. Acketa (1979)
Publications de l'Institut Mathématique
D.M. Acketa (1979)
Publications de l'Institut Mathématique [Elektronische Ressource]
Gábor Czédli, Miklós Maróti (2010)
Mathematica Bohemica
We maximize the total height of order ideals in direct products of finitely many finite chains. We also consider several order ideals simultaneously. As a corollary, a shifting property of some integer sequences, including digit sum sequences, is derived.