Publicação
Ranks of Monoids of Endomorphisms of a Finite Undirected Path
| Resumo: | In this paper, we study the widely considered endomorphisms and weak endomorphisms of a finite undirected path from monoid generators perspective. Our main aim is to determine the ranks of the monoids wEnd Pn and End Pn of all weak endomorphisms and all endomorphisms of the undirected path Pn with n vertices. We also consider strong and strong weak endomorphisms of Pn. |
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| Autores principais: | Dimitrova, I. |
| Outros Autores: | Fernandes, V. H.; Koppitz, J.; Quinteiro, T. M. |
| Assunto: | Generators Graph endomorphisms Paths Rank General Mathematics |
| Ano: | 2020 |
| 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: | In this paper, we study the widely considered endomorphisms and weak endomorphisms of a finite undirected path from monoid generators perspective. Our main aim is to determine the ranks of the monoids wEnd Pn and End Pn of all weak endomorphisms and all endomorphisms of the undirected path Pn with n vertices. We also consider strong and strong weak endomorphisms of Pn. |
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