Semiderivations with Power Values on Lie Ideals in Prime Rings

• Published in: Український математичний журнал
• Date: 2013
• Main Author: Shuliang Huang
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2013
• Subjects: Короткі повідомлення
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/165579
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Semiderivations with Power Values on Lie Ideals in Prime Rings / Shuliang Huang // Український математичний журнал. — 2013. — Т. 65, № 6. — С. 870–873. — Бібліогр.: 15 назв. — англ.

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 s₄; the standard identity in four variable...