Semiderivations with Power Values on Lie Ideals in Prime Rings

  • Shuliang Huang

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.
Published
25.06.2013
How to Cite
Huang, S. “Semiderivations With Power Values on Lie Ideals in Prime Rings”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, no. 6, June 2013, pp. 870–873, https://umj.imath.kiev.ua/index.php/umj/article/view/2473.
Section
Short communications