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

Authors
Shim, EunHwaDonganont, SirilukPark, Choonkil
Issue Date
Apr-2025
Publisher
New York Business Global
Keywords
3-additive functional equation; Hyers-Ulam stability; hyper 3-derivation; hyper 3-homomorphism; ternary algebra
Citation
European Journal of Pure and Applied Mathematics, v.18, no.2, pp 1 - 14
Pages
14
Indexed
SCOPUS
ESCI
Journal Title
European Journal of Pure and Applied Mathematics
Volume
18
Number
2
Start Page
1
End Page
14
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/207425
DOI
10.29020/nybg.ejpam.v18i2.5897
ISSN
1307-5543
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 2 f(x1 + x2, y1 + y2, z1 + z2) = X f(xi, yj, zk). (1) i,j,k=1 Further, we investigate isomorphisms between complex ternary algebras, associated with the 3-additive functional equation.
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