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Publicação
Conjugation in semigroups
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Orientador(es)
Resumo(s)
The action of any group on itself by conjugation and the corresponding conjugacy
relation play an important role in group theory. There have been several attempts
to extend the notion of conjugacy to semigroups. In this paper, we present a new
definition of conjugacy that can be applied to an arbitrary semigroup and it does
not reduce to the universal relation in semigroups with a zero. We compare the new
notion of conjugacy with existing definitions, characterize the conjugacy in various semigroups of transformations on a set, and count the number of conjugacy classes in these semigroups when the set is infinite.
Descrição
Palavras-chave
Semigroups Conjugacy Transformations Directed graphs Well-founded relations
Contexto Educativo
Citação
Araújo, João; Konieczny, Janusz; Malheiro, António - Conjugation in semigroups. "Journal of Algebra" [Em linha]. ISSN 0021-8693. Vol. 403 (2014), p. 1-34