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A note on the extensions of the inversion map to the absorbing elements of a semigroup. (English) Zbl 1348.20067

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
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Full Text: Euclid