[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 :
Mathematics
Identifiers :
UNILU:UL-CONFERENCE-2012-107
Author, co-author :
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
Language :
English
Title :
Partial orders induced by quasilinear clones
Publication date :
2012
Event name :
81st Workshop on General Algebra (AAA 81)
Event place :
Salzburg, Austria
Event date :
February 3-6, 2011
Audience :
International
Main work title :
Proceedings of the Salzburg Conference 2011 (AAA81)
