Results on Lie ideals of prime ringswith homoderivations

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Results on Lie ideals of prime ringswith homoderivations

A. Sarikaya; O. Gölbasi

Extracta mathematicae, 12/2023

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Let R be a prime ring of characteristic not 2 and U be a noncentral square closed Lie ideal of R. An additive mapping Hon R is called a homoderivation if H(xy) =H(x)H(y)+H(x)y+xH(y)for all x, y∈R. In this paper we investigate homoderivations satisfying certain differential identitieson square closed Lie ideals of prime rings.

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