Semiderivations with Power Values on Lie Ideals in Prime Rings

• Date: 2013
• Main Authors: Huang, Shuliang, Хуанг, Шулян
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2013
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2473
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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 va...