naa a22 4500 51073703X CHVBK 20180411083013.0 cr unu---uuuuu 180411e20131001xx s 000 0 eng 10.1007/s13366-012-0128-0 doi (NATIONALLICENCE)springer-10.1007/s13366-012-0128-0 A result on generalized derivations on Lie ideals in prime rings [Elektronische Daten] [B. Dhara, S. Kar, S. Mondal] Let $$R$$ be a prime ring of characteristic not $$2$$ , $$U$$ a nonzero square closed Lie ideal of $$R$$ and $$F$$ be a generalized derivation of $$R$$ associated to a derivation $$d$$ of $$R$$ . In the present paper, we study the situation $$F(u)F(v)\pm vu\in Z(R)$$ for all $$u,v\in U$$ and show that if $$d\ne 0$$ then $$U\subseteq Z(R)$$ . The Managing Editors, 2012 Prime ring nationallicence Lie ideal nationallicence Derivation nationallicence Generalized derivation nationallicence Dhara B. Department of Mathematics, Belda College, Paschim Medinipur, 721424, Belda, West Bengal, India aut Kar S. Department of Mathematics, Jadavpur University, 700032, Kolkata, India aut Mondal S. Department of Mathematics, Jadavpur University, 700032, Kolkata, India aut Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry Springer Berlin Heidelberg 54/2(2013-10-01), 677-682 0138-4821 54:2<677 2013 54 13366 https://doi.org/10.1007/s13366-012-0128-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s13366-012-0128-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Dhara B. Department of Mathematics, Belda College, Paschim Medinipur, 721424, Belda, West Bengal, India aut NATIONALLICENCE 700 1- Kar S. Department of Mathematics, Jadavpur University, 700032, Kolkata, India aut NATIONALLICENCE 700 1- Mondal S. Department of Mathematics, Jadavpur University, 700032, Kolkata, India aut NATIONALLICENCE 773 0- Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry Springer Berlin Heidelberg 54/2(2013-10-01), 677-682 0138-4821 54:2<677 2013 54 13366 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer