Dalla Riva, Matteo; Takahasi, Sin-Ei A note on the extensions of the inversion map to the absorbing elements of a semigroup. (English) Zbl 1348.20067 Nihonkai Math. J. 26, No. 2, 127-134 (2015). Summary: Given a non-trivial automorphism (resp. anti-automorphism) of a semigroup, we study its homomorphic (resp. anti-homomorphic) extensions to a larger semigroup by considering the images of the absorbing elements. Then we exhibit some examples to show the application of the results obtained. MSC: 20M15 Mappings of semigroups 20M10 General structure theory for semigroups Keywords:semigroups; homomorphisms; anti-homomorphisms; automorphisms; anti-automorphisms; inversion map; absorbing elements; extensions of maps PDF BibTeX XML Cite \textit{M. Dalla Riva} and \textit{S.-E. Takahasi}, Nihonkai Math. J. 26, No. 2, 127--134 (2015; Zbl 1348.20067) Full Text: Euclid