Regular Antilattices

Abstract

Antilattices $(S;\vee ,\wedge )$ for which the Green's equivalences ${\mathcal{L}}_{(\vee )}$, ${\mathcal{R}}_{(\vee )}$, ${\mathcal{L}}_{(\wedge )}$ and ${\mathcal{R}}_{(\wedge )}$ are all congruences of the entire antilattice are studied and enumerated.