University of GuilanJournal of Algebra and Related Topics2345-393110120220601A note on generalized derivations on prime ideals159169562310.22124/jart.2021.20131.1291ENN.RehmanDepartment of Mathematics
Aligarh Muslim University
Aligarh, India0000-0003-3955-7941H. M.AlnoghashiDepartment of Mathematics
Aligarh Muslim University
Aligarh, IndiaM.HonganDepartment of Mathematics, Seki 772, Maniwa, Okayama, Japan.Journal Article20210712This 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.https://jart.guilan.ac.ir/article_5623_4b2731c22ceb4a0ffddd7b40329ac424.pdf