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

• Autores: Ilinka Dimitrova, Vítor H. Fernandes, Jörg Koppitz
• Localización: Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 81, Fasc. 1-2, 2012, págs. 11-30
• Idioma: inglés
• DOI: 10.5486/pmd.2012.4897
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• Resumen

  • 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.