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

Jae-Hyeong Bae and Won-Gil Park ()
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Jae-Hyeong Bae: School of Liberal Studies, Kyung Hee University, Yongin 17104, Republic of Korea
Won-Gil Park: Department of Mathematics Education, College of Education, Mokwon University, Daejeon 35349, Republic of Korea

Mathematics, 2025, vol. 13, issue 19, 1-12

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

Keywords: tri-additive mapping; tri-derivation; C *-ternary algebra; Hyers–Ulam stability (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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