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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Abstract

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

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

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

Permanent link to this document
https://projecteuclid.org/euclid.nihmj/1468334493

Mathematical Reviews number (MathSciNet)
MR3521507

Zentralblatt MATH identifier
1348.20067

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

Keywords
Semigroup homomorphism anti-homomorphism inversion map absorbing element

Citation

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. https://projecteuclid.org/euclid.nihmj/1468334493


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