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Publicação
General theorems on automorphisms of semigroups and ther applications
Autores
Orientador(es)
Resumo(s)
We introduce the notion of a strong representation of a semigroup in the monoid of endomorphisms of any mathematical structure, and use this concept to provide a theoretical description of the automorphism group of any semigroup. As an application of our general theorems, we extend to semigroups a well- known result concerning automorphisms of groups, and we determine the automorphism groups of certain transformation semigroups and of the fundamental inverse semigroups.
Descrição
Palavras-chave
Automorphism Semigroup Monoid of endomorphisms Representation
Contexto Educativo
Citação
Araújo, João; Konieczny, Janusz - General theorems on automorphisms of semigroups and ther applications. "Journal of the Australian Mathematical Society" [Em linha]. ISSN 1446-7887. Vol. 87, nº 1 (2009), p. 1-17
Editora
Australian Mathematical Publishing Association Inc./Cambridge University Press