Publicação
On the monoid of order-preserving transformations of a finite chain whose ranges are intervals
| Resumo: | We give a presentation for the monoid IOn of all order-preserving transformations of an n-chain whose ranges are intervals. We also consider the submonoid IOn- of IOn consisting of order-decreasing transformations, for which we determine the cardinality, the rank and a presentation. |
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| Autores principais: | Fernandes, Vítor H. |
| Assunto: | Order-decreasing Order-preserving Presentations Transformations Algebra and Number Theory |
| Ano: | 2024 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | Universidade Nova de Lisboa |
| Idioma: | inglês |
| Origem: | Repositório Institucional da UNL |
| Resumo: | We give a presentation for the monoid IOn of all order-preserving transformations of an n-chain whose ranges are intervals. We also consider the submonoid IOn- of IOn consisting of order-decreasing transformations, for which we determine the cardinality, the rank and a presentation. |
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