On symmetric Jordan and Jordan left bi-derivations of prime rings

ÇEVEN Y. , Ciloglu Z.

AFRIKA MATEMATIKA, cilt.29, ss.689-698, 2018 (ESCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 29
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1007/s13370-018-0570-8
  • Dergi Adı: AFRIKA MATEMATIKA
  • Sayfa Sayıları: ss.689-698

Özet

In this paper, we investigated some properties of symmetric Jordan bi-derivation and symmetric Jordan left bi-derivation for associative rings. We showed that for an associative prime ring with char R not equal 2 if D is a symmetric Jordan bi-derivation then D is symmetric bi-derivation. And also we showed that for a 2-torsion free and 3-torsion free prime ring, if there exists a nonzero symmetric Jordan left bi-derivation D then R is commutative.