## Nihonkai Mathematical Journal

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

#### 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
First available in Project Euclid: 12 July 2016

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

#### 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