On Lie Ideals and Generalized Jordan Left Derivations of Prime Rings

  • A. Z. Ansari
  • N. Rehman

Abstract

Let R be a prime ring with characteristic different from 2 and U be a Lie ideal of R. In the paper, we initiate the study of generalized Jordan left derivations on Lie ideals of R and prove that every generalized Jordan left derivation on U is a generalized left derivation on U. Further, it is shown that generalized Jordan left biderivation associated with the left biderivation on U is either U ⊆ Z(R) or a right bicentralizer on U.
Published
25.08.2013
How to Cite
AnsariA. Z., and RehmanN. “On Lie Ideals and Generalized Jordan Left Derivations of Prime Rings”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, no. 8, Aug. 2013, pp. 1118–1125, http://umj.imath.kiev.ua/index.php/umj/article/view/2494.
Section
Research articles