On the superstability of a special derivation

الموضوعات :

M. Hassani ¹ (Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad 91735, Iran)
E. Keyhani ² (Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad 91735, Iran)

تاريخ الإرسال : 15 الأربعاء , رجب, 1435 تاريخ التأكيد : 24 الأربعاء , شوال, 1435 تاريخ الإصدار : 29 السبت , ربيع الثاني, 1435

الکلمات المفتاحية: Stable, Superstable, Multiplicative Derivations, Ring $(alpha, beta)$, Linear $(alpha, beta)$-derivations, Multiplicative $(alpha, beta)$-derivations,

ملخص المقالة :

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.

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