Results on Lie ideals of prime rings with homoderivations
DOI:
https://doi.org/10.17398/2605-5686.38.2.125Keywords:
prime ring, Lie ideal, homoderivation, commutativityAbstract
Let R be a prime ring of characteristic not 2 and U be a noncentral square closed Lie ideal of R. An additive mapping H on 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 identities on square closed Lie ideals of prime rings.
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