Partial orders induced by quasilinear clones
Erkko Lehtonen, Ágnes Szendrei · Open Repository and Bibliography (University of Luxembourg) · 2012
Abstract. 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. 1.