Equations in the theory of \(Q\)-distributive lattices
type: Item
instance of: scholarly article
title: Equations in the theory of \(Q\)-distributive lattices
zbMATH Open document ID: 0892.06004
DOI: 10.1016/S0012-365X(96)00151-3
author: Alejandro Petrovich
published in: Discrete Mathematics
publication date: 1998-06-30T00:00:00Z
review text: A \(Q\)-distributive lattice is a bounded distributive lattice \(L\) with a quantifier on \(L\). In this paper the author finds for each variety of \(Q\)-distributive lattices, an equation which determines it and gives a characterization of the minimum number of variables needed in such an equation.
Mathematics Subject Classification ID: 06D99
Mathematics Subject Classification ID: 06B20
Mathematics Subject Classification ID: 06E25
zbMATH DE Number: 1110021
zbMATH Keywords: quantifier on lattice
zbMATH Keywords: splitting
zbMATH Keywords: variety
zbMATH Keywords: equation
zbMATH Keywords: monadic Boolean algebra
zbMATH Keywords: bounded distributive lattice
zbMATH Keywords: minimum number of variables
reviewed by: Leo Esakia
MaRDI profile type: Publication
cites work: Q3934450
cites work: Quantifiers on distributive lattices
cites work: Splitting algebras and a weak notion of projectivity
cites work: Algebras Whose Congruence Lattices are Distributive.
cites work: Equations in the Theory of Monadic Algebras
cites work: Equational Bases and Nonmodular Lattice Varieties
cites work: On Equational Classes of Algebraic Versions of Logic I.
description: scientific article; zbMATH DE number 1110021