Duality and canonical extensions of bounded distributive lattices with operators, and applications to the semantics of non-classical logics. I
type: Item
instance of: scholarly article
title: Duality and canonical extensions of bounded distributive lattices with operators, and applications to the semantics of non-classical logics. I
zbMATH Open document ID: 0948.06009
DOI: 10.1023/A:1005298632302
author: Viorica Sofronie-Stokkermans
published in: Studia Logica
publication date: 2000-11-14T00:00:00Z
review text: In this paper the author presents an extension of the Priestly duality to distributive lattices with operators in the following classes: lattice homomorphisms and antimorphisms; and joint- and meet-homomorphisms. The author proves that certain classes of distributive lattices with operators which are not necessarily order-preserving are closed under canonical embedding algebras.
Mathematics Subject Classification ID: 06D99
Mathematics Subject Classification ID: 03G10
Mathematics Subject Classification ID: 06E15
zbMATH DE Number: 1420238
zbMATH Keywords: Pristley duality
zbMATH Keywords: distributive lattices with operators
zbMATH Keywords: canonical embedding algebras
reviewed by: Leo Esakia
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1420238