A generalization of Drygas functional equation

• Charifi, A. ^[1] ; Almahalebi, Muaadh ^[1] ; Kabbaj, Samir ^[1]
  1. [1] Université Ibn-Tofail

     Université Ibn-Tofail

     Kenitra, Marruecos

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 35, Nº. 2, 2016, págs. 159-176
• Idioma: inglés
• DOI: 10.4067/S0716-09172016000200002
• Enlaces
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• Resumen

  • We obtain the Solutions of the following Drygas functional equation∑ λ ∈Φ f (x + λy + aλ ) = κf(x)+ ∑ λ ∈Φ f(λy), x, y ∈ Swhere S is an abelian semigroup, G is an abelian group, f ∈ GS, Φ is a finite automorphism group of S with order k, and aλ ∈ S, λ∈Φ.

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