Results on Lie ideals of prime rings with homoderivations

• A. Sarikaya ^[1] ; Oznur Gölbasi
  1. [1] Department of Mathematics, Faculty of Science, Sivas Cumhuriyet UniversitySivas, Turkey
• Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 38, Nº 2, 2023, págs. 125-137
• Idioma: inglés
• Enlaces
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• Resumen

  • Let R be a prime ring of characteristic not 2 and U be a noncentral square closed Lie ideal of R. An additive mapping H on R is called a homoderivation if H(xy) = H(x)H(y)+H (x) y+xH(y) for all x, y ∈ R. In this paper we investigate homoderivations satisfying certain differential identities on square closed Lie ideals of prime rings.