%0 Journal Article
%T A note on generalized derivations on prime ideals
%J Journal of Algebra and Related Topics
%I University of Guilan
%Z 2345-3931
%A Rehman, N.
%A Alnoghashi, H. M.
%A Hongan, M.
%D 2022
%\ 06/01/2022
%V 10
%N 1
%P 159-169
%! A note on generalized derivations on prime ideals
%K prime ideal
%K Generalized derivations
%K integral domain
%R 10.22124/jart.2021.20131.1291
%X This paper investigates the structure of the quotient ring $\mathscr{R}/ \mathscr{P}$, where $\mathscr{R}$ is an arbitrary ring and $\mathscr{P}$ is a prime ideal of $\mathscr{R}$ . We show that the structure of this class of rings has a relationship with the behaviour of generalized derivations satisfying algebraic identities involving prime ideals.
%U https://jart.guilan.ac.ir/article_5623_4b2731c22ceb4a0ffddd7b40329ac424.pdf