[en] We find sufficient conditions for a subclone C of Burle's clone and for a subclone of the polynomial clone of a finite semimodule to have the property that the associated C-minor partial order has finite principal ideals. We also prove that for these clones the C-minor partial order is universal for the class of countable partial orders whose principal ideals are finite.
Disciplines :
Mathématiques
Identifiants :
UNILU:UL-CONFERENCE-2012-107
Auteur, co-auteur :
LEHTONEN, Erkko ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Computer Science and Communications Research Unit (CSC)
Szendrei, Ágnes; University of Colorado at Boulder, USA
Langue du document :
Anglais
Titre :
Partial orders induced by quasilinear clones
Date de publication/diffusion :
2012
Nom de la manifestation :
81st Workshop on General Algebra (AAA 81)
Lieu de la manifestation :
Salzburg, Autriche
Date de la manifestation :
February 3-6, 2011
Manifestation à portée :
International
Titre de l'ouvrage principal :
Proceedings of the Salzburg Conference 2011 (AAA81)
