Fadli, B. and Kabbaj, S. and Sabour, K. and Zeglami, D.
(2016)
*Functional equations on semigroups with an endomorphism.*
Acta Mathematica Hungarica, 150 (2).
pp. 363-371.

## Abstract

Let S be a semigroup, let H be an abelian group which is 2-torsion free, and let φ: S→ S be an endomorphism. We determine the solutions g: S→ C of the functional equation (Formula Presented.), in terms of multiplicative functions on S, and we show that any solution g: S→ H, when φ is surjective, of the functional equation g(xy)+g(φ(y)x)=2g(x),x,y∈S,has the form g= A+ c, where A: S→ H is an additive map such that A∘ φ= - A, and where c∈ H is a constant. The endomorphism φ need not be involutive. © 2016, Akadémiai Kiadó, Budapest, Hungary.

Item Type: | Article |
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Subjects: | Mathematics |

Divisions: | SCIENTIFIC PRODUCTION > Mathematics |

Depositing User: | Administrateur Eprints Administrateur Eprints |

Last Modified: | 31 Jan 2020 15:48 |

URI: | http://eprints.umi.ac.ma/id/eprint/3968 |

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