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초록
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.
키워드
3-additive functional equation; Hyers-Ulam stability; hyper 3-derivation; hyper 3-homomorphism; ternary algebra; ULAM STABILITY; DERIVATIONS; HYERS; EQUATION
- 제목
- Stability of Hyper 3-Homomorphisms and Hyper 3-Derivations in Ternary Algebras
- 저자
- Shim, EunHwa; Donganont, Siriluk; Park, Choonkil
- 발행일
- 2025-04
- 유형
- Article
- 저널명
- EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS
- 권
- 18
- 호
- 2
- 페이지
- 1 ~ 14