Coreflective hull of finite strong L-topological spaces
type: Item
instance of: scholarly article
title: Coreflective hull of finite strong L-topological spaces
zbMATH Open document ID: 1250.54008
author: Piwei Chen
author: Hongliang Lai
author: Dexue Zhang
published in: Fuzzy Sets and Systems
publication date: 2012-06-19T00:00:00Z
review text: The authors prove that for each unital quantale \(L\), the category of Alexandroff strong \(L\)-co-topological spaces is the coreflective hull of finite strong \(L\)-co-topological spaces. On the other hand, in the case that the quantale \(L\) is the unit interval \([0,1]\) equipped with a continuous t-norm, they prove that the category of Alexandroff strong \([0,1]\)-topological spaces is the coreflective hull of finite strong \([0,1]\)-topological spaces if and only if the continuous t-norm is an ordinal sum of the Łukasiewicz t-norm whose set of idempotent elements is a well-ordered subset of \([0,1]\) under the usual order.
reviewed by: Javier Gutiérrez García
Mathematics Subject Classification ID: 54A40
Mathematics Subject Classification ID: 03E72
Mathematics Subject Classification ID: 06B35
zbMATH DE Number: 6048006
zbMATH Keywords: Quantale
zbMATH Keywords: Girard quantale
zbMATH Keywords: Strong \(L\)-topology
zbMATH Keywords: Strong \(L\)-co-topology
zbMATH Keywords: Alexandroff \(L\)-topology
zbMATH Keywords: Coreflective hull
zbMATH Keywords: Continuous t-norm
MaRDI profile type: Publication
full work available at URL: j.fss.2010.05.001
OpenAlex ID: W1981437367
Wikidata QID: Q58331913
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DOI: 10.1016/J.FSS.2010.05.001
description: scientific article; zbMATH DE number 6048006