Tight representations of \(0\)-\(E\)-unitary inverse semigroups.
type: Item
instance of: scholarly article
title: Tight representations of \(0\)-\(E\)-unitary inverse semigroups.
zbMATH Open document ID: 1233.20056
DOI: 10.1155/2011/353584
author: B. Tabatabaie Shourijeh
author: Asghar Jokar
published in: Abstract and Applied Analysis
publication date: 2012-01-16T00:00:00Z
review text: Summary: We study the tight representation of a semilattice in \(\{0,1\}\) by some examples. Then we introduce the concept of the complex tight representation of an inverse semigroup \(S\) by the concept of the tight representation of the semilattice of idempotents \(E\) of \(S\) in \(\{0,1\}\). Specifically we describe the tight representation of a 0-\(E\)-unitary inverse semigroup and prove that if \(\sigma\) is a tight semilattice representation of the 0-\(E\)-unitary inverse semigroup \(S\) in \(\{0,1\}\), then \(\sigma\) is a complex tight representation.
Mathematics Subject Classification ID: 20M30
Mathematics Subject Classification ID: 20M18
zbMATH DE Number: 5997787
zbMATH Keywords: representations of semilattices
zbMATH Keywords: complex tight representations
zbMATH Keywords: inverse semigroups
zbMATH Keywords: idempotents
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2011/353584
OpenAlex ID: W2112435918
Wikidata QID: Q58654151
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description: scientific article; zbMATH DE number 5997787