October 2010
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4 Citations
Let R be a prime ring with extended centroid C, a nonzero ideal I and two derivations d1, d2. Suppose that d1(x)ⁿ = d2(x)ⁿ for all x ∈ I. Then there exists λ ∈ C such that d2(x) = λd1(x) for all x ∈ R.
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... [33, Lemma 3] Let R = M t (C) be the matrix ring over the field C and t ≥ 3. If a ij = 0 for some i = j, then there exists an inner automorphism ϕ of R, such that ϕ(a) = t r,s=1 a rs e rs and a 12 , a 13 , . . . ...
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October 2010