@article {
author = {Ali, Asma and Rahaman, Md},
title = {On Pair of Generalized Derivations in Rings},
journal = {Khayyam Journal of Mathematics},
volume = {6},
number = {1},
pages = {87-94},
year = {2020},
publisher = {Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures and Tusi Mathematical Research Group)},
issn = {2423-4788},
eissn = {2423-4788},
doi = {10.22034/kjm.2019.97174},
abstract = {Let $R$ be an associative ring with extended centroid $C$, let $G$ and $F$ be generalized derivations of $R$ associated with nonzero derivations $\delta$ and $d$, respectively, and let $m, k, n \geq1$ be fixed integers. In the present paper, we study the situations: (i)$F(x)\circ_{m}G(y)=(x \circ_{n} y)^{k}$, (ii) $[F(x),y]_{m}+[x,d(y)]_{n}=0$ for all $y, x$ in some appropriate subset of $R$.},
keywords = {Prime rings,semiprime rings,generalized derivations,extended centroid},
url = {http://www.kjm-math.org/article_97174.html},
eprint = {http://www.kjm-math.org/article_97174_d6600441ebda02c760dafc2171b8c9a6.pdf}
}