Stability of Hyper 3-Homomorphisms and Hyper 3-Derivations in Ternary Algebras

Authors

  • Eun Hwa Shim Department of Mathematics, Hanyang University, Seoul 04763, Korea
  • Siriluk Donganont School of Science, University of Phayao, Phayao 56000, Thailand
  • Choonkil Park Research Institute for Convergence of Basic l Science, Hanyang University, 215 Seoul 04763, Korea

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i2.5897

Keywords:

Hyers-Ulam stability, homomorphisms, derivations, ternary algebra

Abstract

In this paper, we introduce  hyper 3-homomorphisms and hyper 3-derivations in complex  ternary algebras
and we prove the Hyers-Ulam stability of hyper 3-homomorphisms and hyper 3-derivations in complex  ternary algebras for the following 3-additive functional equation   
 \begin{eqnarray}\label{0.1} 
 f(x_1+x_2,y_1+y_2,z_1+z_2)=\sum_{i,j,k=1}^{2} f(x_i,y_j,z_k).
\end{eqnarray}
Further, we investigate isomorphisms between complex ternary algebras, associated with the 3-additive functional  equation.

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Published

2025-05-01

Issue

Vol. 18 No. 2: (April 2025)

Section

Functional Analysis

License

Copyright (c) 2025 Eun Hwa Shim, Siriluk Donganont, Choonkil Park

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How to Cite

Stability of Hyper 3-Homomorphisms and Hyper 3-Derivations in Ternary Algebras. (2025). European Journal of Pure and Applied Mathematics, 18(2), 5897. https://doi.org/10.29020/nybg.ejpam.v18i2.5897