Commuting double Ockham algebras
type: Item
instance of: scholarly article
title: Commuting double Ockham algebras
zbMATH Open document ID: 1144.06006
author: Elsie Sterbin Gottlieb
published in: Science in China. Series A
publication date: 2008-06-25T00:00:00Z
review text: A double Ockham algebra \((L;\wedge,\vee,0,1,f,k)\) is said to commute if the dual endomorphisms \(f\) and \(k\) are such that \(fk=kf\). In the class of commuting double Ockham algebras the subdirectly irreducible members are characterised and it is shown via Priestley duality that there are precisely nine such algebras all of which are simple.
Mathematics Subject Classification ID: 06D30
Mathematics Subject Classification ID: 06D15
zbMATH DE Number: 5292911
zbMATH Keywords: double Ockham algebra
zbMATH Keywords: Priestley duality
zbMATH Keywords: subdirectly irreducible
MaRDI profile type: Publication
full work available at URL: s11425-007-0159-4
OpenAlex ID: W1482565698
cites work: Double MSn-algebras and double Kn.m-algebras
cites work: Distributive lattices with an additional unary operation
cites work: Ordered Topological Spaces and the Representation of Distributive Lattices
cites work: Distributive lattices with a dual homomorphic operation
DOI: 10.1007/S11425-007-0159-4
description: scientific article; zbMATH DE number 5292911