Semiderivations with Power Values on Lie Ideals in Prime Rings
Abstract
Let R be a prime ring, let L a noncentral Lie ideal, and let f be a nonzero semiderivation associated with an automorphism σ such that f(u) n = 0 for all u ∈ L; where n is a fixed positive integer. If either Char R > n + 1 or Char R = 0; then R satisfies s 4; the standard identity in four variables.
English version (Springer): Ukrainian Mathematical Journal 65 (2013), no. 6, pp 967-971.
Citation Example: Huang Shuliang Semiderivations with Power Values on Lie Ideals in Prime Rings // Ukr. Mat. Zh. - 2013. - 65, № 6. - pp. 870–873.
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