Stability and hyperstability of orthogonally ring $*$-$n$-derivations and orthogonally ring $*$-$n$-homomorphisms on $C^*$-algebras
محورهای موضوعی : Difference and functional equationsR. Gholami 1 , Gh. Askari 2 , M. Eshaghi Gordji 3
1 - Department of Mathematics, Islamic Azad University Dehloran Branch, Dehloran, Iran
2 - Department of Mathematics, Semnan University, P.O.Box 35195-363, Semnan, Iran
3 - Department of Mathematics, Semnan University, P.O.Box 35195-363, Semnan, Iran
کلید واژه: Stability and hyperstability, ring $*$-$n$-derivation, ring $*$-$n$-homomorphism, $C^*$-algebras,
چکیده مقاله :
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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