A note on uniserial loops
All ordinal numbers with the following property are found: there exists a loop such that its subloops form a chain of ordinal type .
Jaroslav Ježek, Tomáš Kepka (2010)
Commentationes Mathematicae Universitatis Carolinae
All ordinal numbers with the following property are found: there exists a loop such that its subloops form a chain of ordinal type .
Kitano, Teruaki, Suzuki, Masaaki (2005)
Experimental Mathematics
Martin Goldstern, Saharon Shelah (1997)
Fundamenta Mathematicae
It is consistent that there is a partial order (P,≤) of size such that every monotone function f:P → P is first order definable in (P,≤).
Józef Dudek (1988)
Colloquium Mathematicae
Mirna Džamonja, Katherine Thompson (2006)
Open Mathematics
This article extends a paper of Abraham and Bonnet which generalised the famous Hausdorff characterisation of the class of scattered linear orders. They gave an inductively defined hierarchy that characterised the class of scattered posets which do not have infinite incomparability antichains (i.e. have the FAC). We define a larger inductive hierarchy κℌ* which characterises the closure of the class of all κ-well-founded linear orders under inversions, lexicographic sums and FAC weakenings. This...
Pierre Antoine Grillet (1995)
Collectanea Mathematica
S. Milic (1978)
Publications de l'Institut Mathématique [Elektronische Ressource]
Svetozar Milić (1978)
Publications de l'Institut Mathématique
S. Fajtlowicz (1979)
Colloquium Mathematicae
O. Cogis (1980)
Mathématiques et Sciences Humaines
Duval, Art M. (2006)
The Electronic Journal of Combinatorics [electronic only]
Wituła, Roman, Słota, Damian (2007)
Novi Sad Journal of Mathematics
S. Lajos (1971)
Matematički Vesnik
Bohdan Zelinka (1988)
Czechoslovak Mathematical Journal
Eke, Boniface I. (2004)
International Journal of Mathematics and Mathematical Sciences
Milan Sekanina (1965)
Archivum Mathematicum
Siegfried Graf (1977)
Journal für die reine und angewandte Mathematik
Vatter, Vincent (2008)
The Electronic Journal of Combinatorics [electronic only]
Ivan Chajda, Helmut Länger (2001)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
Lahiri, Somdeb (2002)
Journal of Applied Mathematics and Decision Sciences