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The maximal subsemigroups of semigroups of transformations preserving or reversing the orientation on a finite chain

  • The study of the semigroups OPn, of all orientation-preserving transformations on an n-element chain, and ORn, of all orientation-preserving or orientation-reversing transformations on an n-element chain, has began in [17] and [5]. In order to bring more insight into the subsemigroup structure of OPn and ORn, we characterize their maximal subsemigroups.

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Author details:Ilinka DimitrovaORCiDGND, Vitor H. Fernandes, Jörg KoppitzORCiDGND
DOI:https://doi.org/10.5486/PMD.2012.4897
ISSN:0033-3883
Title of parent work (English):Publicationes mathematicae
Publisher:Institutum Mathematicum Universitatis Debreceniensis, Debreceni Tudományegyetem Matematikai Intézete
Place of publishing:Debrecen
Publication type:Article
Language:English
Year of first publication:2012
Publication year:2012
Release date:2017/03/26
Tag:finite transformation semigroup; maximal subsemigroups; orientation-preserving and orientation-reversing transformations
Volume:81
Issue:1-2
Number of pages:19
First page:11
Last Page:29
Funding institution:FCT of CAUL [ISFL-1-143]; FCT [PTDC/MAT/69514/2006]; CAUL
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik
Peer review:Referiert
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