Distributive lattices with an operator
type: Item
instance of: scholarly article
title: Distributive lattices with an operator
zbMATH Open document ID: 0854.06016
DOI: 10.1007/BF00370147
author: Alejandro Petrovich
published in: Studia Logica
publication date: 1996-06-02T00:00:00Z
review text: A \(j\)-distributive lattice is an algebra \((L, \vee, \wedge,j, 0, 1)\) such that \((L, \vee, \wedge, 0, 1)\) is a bounded distributive lattice and \(j : L \to L\) is a join-homomorphism. Congruences of \(j\)-distributive lattices are described in terms of corresponding dual spaces, and simple and subdirectly irreducible algebras are characterized for several conditions imposed on \(j\).
Mathematics Subject Classification ID: 06D99
zbMATH DE Number: 883890
zbMATH Keywords: Priestley space
zbMATH Keywords: Priestley relation
zbMATH Keywords: \(j\)-distributive lattice
zbMATH Keywords: congruence
zbMATH Keywords: bounded distributive lattice
zbMATH Keywords: join-homomorphism
zbMATH Keywords: dual spaces
zbMATH Keywords: subdirectly irreducible algebras
reviewed by: Josef Niederle
MaRDI profile type: Publication
cites work: Q4137166
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full work available at URL: https://doi.org/10.1007/bf00370147
OpenAlex ID: W2053013736
description: scientific article; zbMATH DE number 883890