Document Type: Research Paper


1 Department of Mathematics, Islamic Azad University Dehloran Branch, Dehloran, Iran

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


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.


Main Subjects

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