3 papers
math.CO2026
Outer and inner medians in some small lattices
Leen Aburub, Gergo Gyenizse
By median we mean a scheme that inputs three element of a lattice, and outputs an element that is an average of the three inputs in a certain sense. The medians of a given finite l…
math.CO2024
The filter of interpretability types of Hobby-McKenzie varieties is prime
Bertalan Bodor, Gergő Gyenizse, Miklós Maróti +1
We study the Hobby-McKenzie varieties that constitute a major class investigated thoroughly in the monograph The shape of congruence lattices by Kearnes and Kiss. We obtain new cha…
math.RA2018
Symmetric embeddings of free lattices into each other
Gábor Czédli, Gergő Gyenizse, Ádám Kunos
By a 1941 result of Ph. M. Whitman, the free lattice FL(3) on three generators includes a sublattice that is isomorphic to the lattice FL()=FL() generated freely b…