On initial and final \(L\)-topological groups
type: Item
instance of: scholarly article
title: On initial and final \(L\)-topological groups
zbMATH Open document ID: 1081.22001
author: Fatma Bayoumi
published in: Fuzzy Sets and Systems
publication date: 2006-01-24T00:00:00Z
review text: The category \(L\)-\textbf{TopGrp} of \(L\)-fuzzy topological groups is studied, where \(L\) is a complete lattice. There are two functors \(\omega_L\) from the category \textbf{TopGrp} of topological groups to the category \(L\)-\textbf{TopGrp}, and \(\iota_L\) from \(L\)-\textbf{TopGrp} to \textbf{TopGrp}. The initial and final \(L\)-fuzzy topological groups exist in \(L\)-\textbf{TopGrp} and can be characterized. In particular, \(L\)-fuzzy topological subgroups, product groups and quotient groups are defined and considered.
Mathematics Subject Classification ID: 22A05
Mathematics Subject Classification ID: 54A40
Mathematics Subject Classification ID: 54H11
zbMATH DE Number: 5001334
zbMATH Keywords: \(L\)-fuzzy topological group
zbMATH Keywords: \(L\)-topological subgroup
zbMATH Keywords: \(L\)-topological product group
zbMATH Keywords: \(L\)-topological quotient group
reviewed by: Ljubiša D. R. Kočinac
MaRDI profile type: Publication
full work available at URL: j.fss.2005.05.022
OpenAlex ID: W1988338819
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DOI: 10.1016/J.FSS.2005.05.022
description: scientific article; zbMATH DE number 5001334