@article{Dhara,
author = {Dhara, B. and Pradhan, K.G. and Tiwari, Sh.K. and AWT_TAG},
title = {Left Annihilator of Identities Involving Generalized Derivations in Prime Rings},
volume = {12},
abstract ={Let $R$ be a prime ring with its Utumi ring of quotients $U$, $C=Z(U)$ the extended centroid of $R$, $L$ a non-central Lie ideal of $R$ and $0neq a in R$. If $R$ admits a generalized derivation $F$ such that $a(F(u^2)pm F(u)^{2})=0$ for all $u in L$, then one of the following holds: begin{enumerate} item there exists $b in U$ such that $F(x)=bx$ for all $x in R$, with $ab=0$; item $F(x)=mp x$ for all $x in R$; item char $(R)=2$ and $R$ satisfies $s_4$;item char $(R) neq 2$, $R$ satisfies $s_4$ and there exists $bin U$ such that $F(x)=bx$ for all $x in R$. },
URL = {http://ijmsi.ir/article-1-845-en.html},
eprint = {http://ijmsi.ir/article-1-845-en.pdf},
journal = {Iranian Journal of Mathematical Sciences and Informatics},
doi = {10.7508/ijmsi.2017.2.010},
year = {2017}
}