Stability and hyperstability of orthogonally ring $*$-$n$-derivations and orthogonally ring $*$-$n$-homomorphisms on $C^*$-algebras
الموضوعات :
R. Gholami
1
(Department of Mathematics, Islamic Azad University Dehloran Branch, Dehloran, Iran)
Gh. Askari
2
(Department of Mathematics, Semnan University, P.O.Box 35195-363, Semnan, Iran)
M. Eshaghi Gordji
3
(Department of Mathematics, Semnan University, P.O.Box 35195-363, Semnan, Iran)
الکلمات المفتاحية: Stability and hyperstability, ring $*$-$n$-derivation, ring $*$-$n$-homomorphism, $C^*$-algebras,
ملخص المقالة :
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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