A Note on Posner's Theorem with Generalized Derivations on Lie Ideals

  • V. De Filippis

    Università di Messina, Italy
  • M.S. Tammam El-Sayid

    Beni Suef University, Egypt

Abstract

Let be a prime ring of characteristic different from , its center, its Utumi quotient ring, its extended centroid, a non-zero generalized derivation of , a non-central Lie ideal of . We prove that if for all then one of the following holds:

  1. there exists such that , for all ;
  2. satisfies the standard identity and there exist , such that , for all .

Cite this article

V. De Filippis, M.S. Tammam El-Sayid, A Note on Posner's Theorem with Generalized Derivations on Lie Ideals. Rend. Sem. Mat. Univ. Padova 122 (2009), pp. 55–64

DOI 10.4171/RSMUP/122-5