On Lie ideals satisfying certain differential identities in prime rings

• Basudeb Dhara ^[2] ; S. Ghosh ^[1] ; Gurninder Sandhu ^[3]
  1. [1] Jadavpur University

     Jadavpur University

     India

     
  2. [2] Department of Mathematics, Belda College, Belda Paschim Medinipur, 721424, W.B., India
  3. [3] Department of Mathematics, Patel Memorial National College 140401 Rajpura, India

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• Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 38, Nº 1, 2023, págs. 67-84
• Idioma: inglés
• DOI: 10.17398/2605-5686.38.1.67
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• Resumen

  • Let R be a prime ring of characteristic not 2, L a nonzero square closed Lie ideal of R and let F : R → R, G : R → R be generalized derivations associated with derivations d : R → R, g : R → R respectively. In this paper, we study several conditions that imply that the Lie ideal is central. Moreover, it is shown that the assumption of primeness of R can not be removed.

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