General theorems on automorphisms of semigroups and ther applications

Araújo, João; Konieczny, Janusz

http://hdl.handle.net/10400.2/1989

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Authors

Araújo, João

Konieczny, Janusz

Abstract(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.

Keywords

Automorphism Semigroup Monoid of endomorphisms Representation

URI

http://hdl.handle.net/10400.2/1989

Citation

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