2017
Том 69
№ 9

All Issues

Semiderivations with Power Values on Lie Ideals in Prime Rings

Huang Shuliang

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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 uL; 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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