The maximal subsemigroups of semigroups of transformations preserving or reversing the orientation on a finite chain.
type: Item
instance of: scholarly article
zbMATH Open document ID: 1257.20061
DOI: 10.5486/PMD.2012.4897
author: Ilinka Dimitrova
author: Jörg Koppitz
author: Vítor H. Fernandes
published in: Publicationes Mathematicae Debrecen
publication date: 2012-09-17T00:00:00Z
Mathematics Subject Classification ID: 20M20
Mathematics Subject Classification ID: 20M12
zbMATH DE Number: 6083250
zbMATH Keywords: finite transformation semigroups
zbMATH Keywords: orientation-preserving transformations
zbMATH Keywords: orientation-reversing transformations
zbMATH Keywords: maximal subsemigroups
MaRDI profile type: Publication
full work available at URL: pmd.2012.4897
OpenAlex ID: W2045575591
title: The maximal subsemigroups of semigroups of transformations preserving or reversing the orientation on a finite chain.
review text: Let \(X_n=\{1<2<\cdots<n\}\) be a finite chain with \(n\) elements, \(\mathcal{OP}_n\) (\(\mathcal{OR}_n\)) the monoid of all orientation-preserving (orientation-preserving or orientation reversing) full transformations of \(X_n\). In this paper the maximal subsemigroups of the monoids \(\mathcal{OP}_n\) and \(\mathcal{OR}_n\) and of their ideals are described.
reviewed by: Jaak Henno
description: scientific article; zbMATH DE number 6083250