Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/7451
Título: | Partial orders on transformation semigroups |
Autor(es): | Smith, M. Paula Marques Sullivan, R. P. |
Palavras-chave: | Natural partial order Transformation semigroup |
Data: | 2003 |
Editora: | Springer |
Revista: | Monatshefte für Mathematik |
Citação: | "Monatshefte für Mathematik". ISSN 0026-9255. 140:2 (2003) 103-118. |
Resumo(s): | In 1986, Kowol and Mitsch studied properties of the so-called 'natural partial order' less than or equal to on T(X), the total transformation semigroup defined on a set X. In particular, they determined when two total transformations are related under this order, and they described the minimal and maximal elements of (T(X), less than or equal to). In this paper, we extend that work to the semigroup P(X) of all partial transformations of X, compare less than or equal to with another 'natural' partial order on P(X), characterise the meet and join of these two orders, and determine the minimal and maximal elements of P(X) with respect to each order. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/7451 |
DOI: | 10.1007/s00605-002-0546-4 |
ISSN: | 0026-9255 1436-5081 |
Versão da editora: | www.springerlink.com http://springerlink.com/content/k2f56v7nu7d5ga2l/ |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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partial order:orig.pdf | 485,49 kB | Adobe PDF | Ver/Abrir |