Topological duality for distributive Ockham algebras
type: Item
instance of: scholarly article
title: Topological duality for distributive Ockham algebras
zbMATH Open document ID: 0539.06014
DOI: 10.1007/BF01418756
author: Moshe Goldberg
published in: Studia Logica
publication date: 1983-01-01T00:00:00Z
review text: A bounded distributive lattice D with a dual lattice homomorphism is called an Ockham algebra. An Ockham space is the Priestley dual of D augmented by an order reversing continuous map. As an application of a general theorem of \textit{P. Freyd} [Colloq. Math. 14, 89-106 (1966; Zbl 0144.010)], the author represents such algebras and spaces via natural hom-functors. The powerset of the set N of natural numbers plays as an algebra as well as a space an important role throughout the paper.
Mathematics Subject Classification ID: 06D30
Mathematics Subject Classification ID: 06D05
zbMATH DE Number: 3857185
zbMATH Keywords: bounded distributive lattice
zbMATH Keywords: Ockham algebra
zbMATH Keywords: Ockham space
zbMATH Keywords: Priestley dual
reviewed by: Klaus Kaiser
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01418756
OpenAlex ID: W1991194953
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description: scientific article; zbMATH DE number 3857185