Gholami, R., Askari, G., Eshaghi Gordji, M. (2018). Stability and hyperstability of orthogonally ring $*$-$n$-derivations and orthogonally ring $*$-$n$-homomorphisms on $C^*$-algebras. Journal of Linear and Topological Algebra (JLTA), 07(02), 109-119.

R. Gholami; Gh. Askari; M. Eshaghi Gordji. "Stability and hyperstability of orthogonally ring $*$-$n$-derivations and orthogonally ring $*$-$n$-homomorphisms on $C^*$-algebras". Journal of Linear and Topological Algebra (JLTA), 07, 02, 2018, 109-119.

Gholami, R., Askari, G., Eshaghi Gordji, M. (2018). 'Stability and hyperstability of orthogonally ring $*$-$n$-derivations and orthogonally ring $*$-$n$-homomorphisms on $C^*$-algebras', Journal of Linear and Topological Algebra (JLTA), 07(02), pp. 109-119.

Gholami, R., Askari, G., Eshaghi Gordji, M. Stability and hyperstability of orthogonally ring $*$-$n$-derivations and orthogonally ring $*$-$n$-homomorphisms on $C^*$-algebras. Journal of Linear and Topological Algebra (JLTA), 2018; 07(02): 109-119.

Stability and hyperstability of orthogonally ring $*$-$n$-derivations and orthogonally ring $*$-$n$-homomorphisms on $C^*$-algebras

^{1}Department of Mathematics, Islamic Azad University Dehloran Branch, Dehloran, Iran

^{2}Department of Mathematics, Semnan University, P.O.Box 35195-363, Semnan, Iran

Abstract

In this paper, we investigate the generalized Hyers-Ulam-Rassias and the Isac and Rassias-type stability of the conditional of orthogonally ring $*$-$n$-derivation and orthogonally ring $*$-$n$-homomorphism on $C^*$-algebras. As a consequence of this, we prove the hyperstability of orthogonally ring $*$-$n$-derivation and orthogonally ring $*$-$n$-homomorphism on $C^*$-algebras.

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