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- Title
GENERAL THEOREMS ON AUTOMORPHISMS OF SEMIGROUPS AND THEIR APPLICATIONS.
- Authors
Araújo, João; Konieczny, Janusz
- Abstract
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 wellknown result concerning automorphisms of groups, and we determine the automorphism groups of certain transformation semigroups and of the fundamental inverse semigroups.
- Subjects
SEMIGROUPS (Algebra); AUTOMORPHISMS; MONOIDS; ENDOMORPHISMS; SMARANDACHE notions; INVERSE semigroups; MATHEMATICS; INTEGRAL representations; INTEGRAL theorems
- Publication
Journal of the Australian Mathematical Society, 2009, Vol 87, Issue 1, p1
- ISSN
1446-7887
- Publication type
Article