Some Equations in Semiprime Rings with Multiplicative Generalized Semiderivation

BEDİR Z., GÖLBAŞI Ö.

Iranian Journal of Mathematical Sciences and Informatics, cilt.21, sa.1, ss.53-66, 2026 (ESCI, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 21 Sayı: 1
  • Basım Tarihi: 2026
  • Doi Numarası: 10.61882/ijmsi.21.1.53
  • Dergi Adı: Iranian Journal of Mathematical Sciences and Informatics
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.53-66
  • Anahtar Kelimeler: Generalized emiderivation, Multiplicative derivation, Semiderivation, Semiprime ring
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

Let R be a semiprime ring. A mapping F on R is said to be a multiplicative generalized semiderivation of R if there exists a multiplicative semiderivation d associated with a map g on R such that (i) F (xy) = F (x)y + g (x) d(y) = d(x)g (y) + xF (y) and (ii) F (g(x)) = g(F (x)), for all x, y ∈ R. The purpose of this paper is to study multiplicative generalized semiderivations satisfying certain differential identities on semiprime rings.