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

Journal of Linear and Topological Algebra

مقاله 1، دوره 07، شماره 02، شهریور 2018، صفحه 109-119   

نوع مقاله: Research Paper

نویسندگان

R. Gholami¹؛ Gh. Askari^{* 2}؛ M. Eshaghi Gordji²

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

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

چکیده

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.

کلیدواژه‌ها

Stability and hyperstability؛ ring $*$-$n$-derivation؛ ring $*$-$n$-homomorphism؛ $C^*$-algebras

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