Stability of homomorphisms and derivations in $C^*$-ternary algebras
M. Bavand Savadkouhi, M. Eshaghi Gordji, N. Ghobadipour

TL;DR
This paper studies the stability of homomorphisms and derivations in $C^*$-ternary algebras, proving generalized Hyers-Ulam-Rassias stability for these algebraic structures and their associated functional equations.
Contribution
It introduces new stability results for homomorphisms and derivations in $C^*$-ternary algebras related to a specific functional equation.
Findings
Established generalized Hyers-Ulam-Rassias stability for homomorphisms.
Proved stability of derivations in $C^*$-ternary algebras.
Analyzed the functional equation related to these algebraic structures.
Abstract
In this paper, we investigate homomorphisms between -ternary algebras and derivations on -ternary algebras, associated with the following functional equation Moreover, we prove the generalized Hyers-Ulam -Rassias stability of homomorphisms in -ternary algebras and of derivations on -ternary algebras.
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Taxonomy
TopicsFunctional Equations Stability Results · Advanced Topics in Algebra · Biochemical Acid Research Studies
