@article{article_427842, title={On Right (σ, τ)-Jordan Ideals and One Sided Generalized Derivations}, journal={Adıyaman University Journal of Science}, volume={9}, pages={1–12}, year={2019}, author={Güven, Evrim}, keywords={Prime Ring,Generalized Derivation}, abstract={<p class="MsoNormal" style="text-align:justify;text-indent:1cm;line-height:150%;"> <span style="font-size:12pt;line-height:150%;font-family:’Times New Roman’, serif;">Let R be a prime ring with characteristic not 2 and σ, τ, α, β, λ, μ, γ
automorphisms of R. Let h: R→R be a nonzero left (resp. right)-generalized
(α,β)-derivation, b </span> <span style="font-size:12pt;line-height:150%;font-family:Symbol;">Î </span> <span style="font-size:12pt;line-height:150%;font-family:’Times New Roman’, serif;">R and U, V nonzero right (σ,τ)-Jordan ideals of R. In
this article we  have investigated the
following situations: </span> </p> <p> </p> <p class="MsoNormal" align="center" style="text-align:center;line-height:150%;"> <span style="font-size:12pt;line-height:150%;font-family:’Times New Roman’, serif;">(1)
bh(γ(U))=0, (2) h(γ(U))b=0,  (3) h(γ(U))=0,
(4) U </span> <a> <span style="font-family:Symbol;">Ì </span> </a> <span style="font-size:12pt;line-height:150%;font-family:’Times New Roman’, serif;">C </span> <sub> <span style="font-size:12pt;line-height:150%;font-family:’Times New Roman’, serif;">
λ,µ </span> </sub> <span style="font-size:12pt;line-height:150%;font-family:’Times New Roman’, serif;">(V), (5) bh(I) </span> <span style="font-family:Symbol;">Ì </span> <span style="font-size:12pt;line-height:150%;font-family:’Times New Roman’, serif;"> </span> </p> <p> </p> <p> </p> <p class="MsoNormal" align="center" style="text-align:center;line-height:150%;"> <span style="font-size:12pt;line-height:150%;font-family:’Times New Roman’, serif;">C </span> <sub> <span style="font-size:12pt;line-height:150%;font-family:’Times New Roman’, serif;">
λ,µ </span> </sub> <span style="font-size:12pt;line-height:150%;font-family:’Times New Roman’, serif;">(U) or h(I)b </span> <span style="font-family:Symbol;">Ì </span> <span style="font-size:12pt;line-height:150%;font-family:’Times New Roman’, serif;">C </span> <sub> <span style="font-size:12pt;line-height:150%;font-family:’Times New Roman’, serif;"> λ,µ </span> </sub> <span style="font-size:12pt;line-height:150%;font-family:’Times New Roman’, serif;">(U), (6) bV </span> <span style="font-family:Symbol;">Ì </span> <span style="font-size:12pt;line-height:150%;font-family:’Times New Roman’, serif;">C </span> <sub> <span style="font-size:12pt;line-height:150%;font-family:’Times New Roman’, serif;"> λ,µ </span> </sub> <span style="font-size:12pt;line-height:150%;font-family:’Times New Roman’, serif;">(U)
or Vb </span> <span style="font-family:Symbol;">Ì </span> <span style="font-size:12pt;line-height:150%;font-family:’Times New Roman’, serif;">C </span> <sub> <span style="font-size:12pt;line-height:150%;font-family:’Times New Roman’, serif;">
λ,µ </span> </sub> <span style="font-size:12pt;line-height:150%;font-family:’Times New Roman’, serif;">(U). </span> </p> <p> </p>}, number={1}, publisher={Adıyaman University}