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Centralizers in the full transformation semigroup
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Autores
Orientador(es)
Resumo(s)
For an arbitrary set X (finite or infinite), denote by T (X) the semigroup of full transformations on X. For α ∈ T (X), let C(α) = {β ∈ T (X) : αβ = βα} be the centralizer of α in T (X). The aim of this paper is to characterize the elements of
C(α). The characterization is obtained by decomposing α as a join of connected partial
transformations on X and analyzing the homomorphisms of the directed graphs
representing the connected transformations. The paper closes with a number of open
problems and suggestions of future investigations.
Descrição
Palavras-chave
Full transformations Centralizers Digraph homomorphisms
Contexto Educativo
Citação
Araújo, João; Konieczny, Janusz - Centralizers in the full transformation semigroup. "Semigroup Forum" [Em linha]. ISSN 0037-1912 (Print) 1432-2137 (Online). Vol. 86, nº 1 (2013), p. 1-32