Araújo, JoãoKonieczny, Janusz2011-12-132011-12-132009Araújo, 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. 1-171446-7887http://hdl.handle.net/10400.2/1989We 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.engAutomorphismSemigroupMonoid of endomorphismsRepresentationjournal article10.1017/S1446788709000019