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http://hdl.handle.net/10362/99848| Título: | The Rank of the Semigroup of All Order-Preserving Transformations on a Finite Fence |
| Autor: | Fernandes, Vítor H. Koppitz, Jörg Musunthia, Tiwadee |
| Palavras-chave: | Fence Idempotents Order-preserving Rank of semigroup Transformation semigroups Zig-zag order Mathematics(all) |
| Data: | 15-Set-2019 |
| Citação: | Fernandes, V. H., Koppitz, J., & Musunthia, T. (2019). The Rank of the Semigroup of All Order-Preserving Transformations on a Finite Fence. Bulletin Of The Malaysian Mathematical Sciences Society, 42(5), 2191-2211. https://doi.org/10.1007/s40840-017-0598-1 |
| Resumo: | A zig-zag (or fence) order is a special partial order on a (finite) set. In this paper, we consider the semigroup TFn of all order-preserving transformations on an n-element zig-zag-ordered set. We determine the rank of TFn and provide a minimal generating set for TFn. Moreover, a formula for the number of idempotents in TFn is given. |
| Descrição: | Grant No. SRF-PRG-2557-02. |
| Peer review: | yes |
| URI: | http://hdl.handle.net/10362/99848 |
| DOI: | https://doi.org/10.1007/s40840-017-0598-1 |
| ISSN: | 0126-6705 |
| Aparece nas colecções: | FCT: DM - Artigos em revista internacional com arbitragem científica |
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