J4

• 数学 • Previous Articles     Next Articles

Derivations with Powercocentralizing Values on Lie Ideal

ZHANG Min1, WU Wei2, WANG Yu1   

  1. 1. College of Mathematics, Jilin Normal University, Siping 136000, Jilin Province, China; 2. Institute of Mathematics, Jilin University, Changchun 130012, China
  • Received:2005-07-21 Revised:1900-01-01 Online:2006-05-26 Published:2006-05-26
  • Contact: ZHANG Min

Abstract: Let R be a prime ring withL a noncentral Lie ideal ofR. If d andg are the derivations ofRsuch that (d(u)u-ug(u))2 is central for all u∈L, then d=g=0 or R satisfies s4 the standard identity in 4 variables.

Key words: symmetric quotient ring, generalized polynomial identities, derivation

CLC Number: 

  • O153