Nihonkai Mathematical Journal

A note on the extensions of the inversion map to the absorbing elements of a semigroup

Matteo Dalla Riva and Sin-Ei Takahasi

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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.

Article information

Nihonkai Math. J., Volume 26, Number 2 (2015), 127-134.

Received: 29 October 2015
First available in Project Euclid: 12 July 2016

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 20M15: Mappings of semigroups
Secondary: 20M10: General structure theory

Semigroup homomorphism anti-homomorphism inversion map absorbing element


Riva, Matteo Dalla; Takahasi, Sin-Ei. A note on the extensions of the inversion map to the absorbing elements of a semigroup. Nihonkai Math. J. 26 (2015), no. 2, 127--134.

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