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2015 A note on the extensions of the inversion map to the absorbing elements of a semigroup
Matteo Dalla Riva, Sin-Ei Takahasi
Nihonkai Math. J. 26(2): 127-134 (2015).

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.

Citation

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Matteo Dalla Riva. Sin-Ei Takahasi. "A note on the extensions of the inversion map to the absorbing elements of a semigroup." Nihonkai Math. J. 26 (2) 127 - 134, 2015.

Information

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

zbMATH: 1348.20067
MathSciNet: MR3521507

Subjects:
Primary: 20M15
Secondary: 20M10

Keywords: absorbing element , anti-homomorphism , Homomorphism , inversion map , semigroup

Rights: Copyright © 2015 Niigata University, Department of Mathematics

Vol.26 • No. 2 • 2015
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