On the superstability of a special derivation

Journal of Linear and Topological Algebra

مقاله 3، دوره 03، شماره 01، خرداد 2014، صفحه 15-22   

نویسندگان

M. Hassani^* ؛ E. Keyhani

Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad 91735, Iran

چکیده

The aim of this paper is to show that under some mild conditions a functional equation of multiplicative $(\alpha,\beta)$-derivation is superstable on standard operator algebras. Furthermore, we prove that this generalized derivation can be a continuous and an inner $(\alpha,\beta)$-derivation.

کلیدواژه‌ها

Ring $(alpha,beta)$؛ Linear $(alpha,beta)$-derivations؛ Stable؛ Superstable؛ Multiplicative $(alpha,beta)$-derivations؛ Multiplicative Derivations

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