Stability of Hyper 3-Homomorphisms and Hyper 3-Derivations in Ternary Algebras
- Authors
- Shim, EunHwa; Donganont, Siriluk; Park, 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.
- Files in This Item
-
Go to Link
- Appears in
Collections - 서울 자연과학대학 > 서울 수학과 > 1. Journal Articles

Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.