Results on Lie ideals of prime rings with homoderivations

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Sarikaya A., GÖLBAŞI Ö.

Extracta Mathematicae, cilt.38, sa.2, ss.125-137, 2023 (Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Sayı: 2
  • Basım Tarihi: 2023
  • Doi Numarası: 10.17398/2605-5686.38.2.125
  • Dergi Adı: Extracta Mathematicae
  • Derginin Tarandığı İndeksler: Scopus, MathSciNet, zbMATH, Directory of Open Access Journals, DIALNET
  • Sayfa Sayıları: ss.125-137
  • Anahtar Kelimeler: commutativity, homoderivation, Lie ideal, prime ring
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

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.