@article{DimitrovaFernandesKoppitz2012, author = {Dimitrova, Ilinka and Fernandes, Vitor H. and Koppitz, J{\"o}rg}, title = {The maximal subsemigroups of semigroups of transformations preserving or reversing the orientation on a finite chain}, series = {Publicationes mathematicae}, volume = {81}, journal = {Publicationes mathematicae}, number = {1-2}, publisher = {Institutum Mathematicum Universitatis Debreceniensis, Debreceni Tudom{\´a}nyegyetem Matematikai Int{\´e}zete}, address = {Debrecen}, issn = {0033-3883}, doi = {10.5486/PMD.2012.4897}, pages = {11 -- 29}, year = {2012}, abstract = {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.}, language = {en} }