Regular antilattices

Karin Cvetko-Vah; Michael Kinyon; Jonathan Leech; Tomaž Pisanski

doi:10.26493/2590-9770.1333.152

Authors

Karin Cvetko-Vah University of Ljubljana, Slovenia https://orcid.org/0000-0003-3664-0731
Michael Kinyon University of Denver, United States https://orcid.org/0000-0002-5227-8632
Jonathan Leech Westmont College, United States
Tomaž Pisanski University of Primorska, Slovenia, and University of Ljubljana, Slovenia, and Institute of Mathematics, Physics and Mechanics, Slovenia https://orcid.org/0000-0002-1257-5376

DOI:

https://doi.org/10.26493/2590-9770.1333.152

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.

Regular antilattices

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