Stability of Tri-Homomorphisms, Tri-Derivations, and Tri-Isomorphisms in C*-Ternary Algebras

Jae Hyeong Bae; Won Gil Park

doi:10.3390/math13193156

Stability of Tri-Homomorphisms, Tri-Derivations, and Tri-Isomorphisms in C*-Ternary Algebras

Jae Hyeong Bae
, Won Gil Park

Research output: Contribution to journal › Article › peer-review

Abstract

This work demonstrates the generalized Hyers–Ulam stability of tri-homomorphisms within (Formula presented.) -ternary algebras. We investigate the stability of a tri-additive functional equation and apply these results to study tri-derivations and tri-isomorphisms between (Formula presented.) -ternary algebras.

Original language	English
Article number	3156
Journal	Mathematics
Volume	13
Issue number	19
DOIs	https://doi.org/10.3390/math13193156
Publication status	Published - Oct 2025

Bibliographical note

Publisher Copyright:
© 2025 by the authors.

Keywords

C*-ternary algebra
Hyers–Ulam stability
tri-additive mapping
tri-derivation

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10.3390/math13193156

Cite this

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title = "Stability of Tri-Homomorphisms, Tri-Derivations, and Tri-Isomorphisms in C*-Ternary Algebras",

abstract = "This work demonstrates the generalized Hyers–Ulam stability of tri-homomorphisms within (Formula presented.) -ternary algebras. We investigate the stability of a tri-additive functional equation and apply these results to study tri-derivations and tri-isomorphisms between (Formula presented.) -ternary algebras.",

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Y1 - 2025/10

N2 - This work demonstrates the generalized Hyers–Ulam stability of tri-homomorphisms within (Formula presented.) -ternary algebras. We investigate the stability of a tri-additive functional equation and apply these results to study tri-derivations and tri-isomorphisms between (Formula presented.) -ternary algebras.

AB - This work demonstrates the generalized Hyers–Ulam stability of tri-homomorphisms within (Formula presented.) -ternary algebras. We investigate the stability of a tri-additive functional equation and apply these results to study tri-derivations and tri-isomorphisms between (Formula presented.) -ternary algebras.

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KW - Hyers–Ulam stability

KW - tri-additive mapping

KW - tri-derivation

UR - https://www.scopus.com/pages/publications/105018944094

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DO - 10.3390/math13193156

M3 - Article

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ER -

Stability of Tri-Homomorphisms, Tri-Derivations, and Tri-Isomorphisms in C*-Ternary Algebras

Abstract

Bibliographical note

Keywords

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