On Generalized Semi-derivations and Jordan Ideals


GÜVEN E.

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol.48, no.5, pp.2089-2103, 2022 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 48 Issue: 5
  • Publication Date: 2022
  • Doi Number: 10.1007/s41980-021-00614-7
  • Journal Name: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Page Numbers: pp.2089-2103
  • Keywords: Prime ring, Generalized derivation, Semi-derivation, Jordan ideal, (sigma, tau)-Jordan ideal
  • Kocaeli University Affiliated: Yes

Abstract

Let R be a two-torsion free prime ring. In this article, we study the commutativity of the ring with the generalized semi-derivation F that satisfies certain conditions in prime rings and apply our results to (sigma, tau)-Jordan ideals.