Regular antilattices

Keywords: Noncommutative lattice, antilattice, Green's equivalences, lattice of subvarieties, enumeration, partition, composition

Abstract

Antilattices (S; ∨, ∧) for which the Green’s equivalences ℒ(∨), ℛ(∨), ℒ(∧) and ℛ(∧) are all congruences of the entire antilattice are studied and enumerated.

Published
2019-12-30
Section
Non-Commutative Structures 2018