naa a22 4500 51073698X CHVBK 20180411083013.0 cr unu---uuuuu 180411e20131001xx s 000 0 eng 10.1007/s13366-012-0100-z doi (NATIONALLICENCE)springer-10.1007/s13366-012-0100-z Güven Evrim Department of Mathematics, Faculty of Arts and Sciences, Kocaeli University, Izmit, Kocaeli, Turkey aut Some results on generalized ( σ, τ )-derivations in prime rings [Elektronische Daten] [Evrim Güven] Let R be a prime ring with characteristic not 2 and I, J ideals of R. Let $${h:R\longrightarrow R}$$ be a generalized (1, τ)-derivation associated with a nonzero (λ, γ)-derivation d. In this paper we proved that, if one of the following conditions holds then R is commutative. (i) h[x, y] α,β =[x, y] α,μ , for all $${ x\in I,y\in J}$$ (or h[x, y] α,β =−[x, y] α,μ ). (ii) h(x, y) α,β =(x, y) α,μ , for all $${x\in I,y\in J}$$ (or h(x, y) α,β =(x, y) α,μ ). We also prove some results in prime rings with generalized (σ, τ)-derivation. The Managing Editors, 2012 Prime ring nationallicence Generalized derivation nationallicence Commutativity nationallicence Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry Springer Berlin Heidelberg 54/2(2013-10-01), 559-566 0138-4821 54:2<559 2013 54 13366 https://doi.org/10.1007/s13366-012-0100-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s13366-012-0100-z text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Güven Evrim Department of Mathematics, Faculty of Arts and Sciences, Kocaeli University, Izmit, Kocaeli, Turkey aut NATIONALLICENCE 773 0- Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry Springer Berlin Heidelberg 54/2(2013-10-01), 559-566 0138-4821 54:2<559 2013 54 13366 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer