University of Guilan Journal of Algebra and Related Topics 2345-3931 11 2 2023 12 01 Study of the structure of quotient rings satisfying algeraic identities 117 125 7143 10.22124/jart.2023.23527.1482 EN A. Boua Department of Mathematics, Polydisciplinary Faculty, Taza Sidi Mohamed Ben Abdellah University, Fes Morocco M. El ‎H‎amdaoui Department of Mathematics, Polydisciplinary Faculty, Taza Sidi Mohamed Ben Abdellah University, Fes, Morocco Journal Article 2022 12 30 ‎Assuming that $\mathcal{R}$ is an associative ring with prime ideal $P$‎, ‎this paper investigates the commutativity of the quotient ring $\mathcal{R}/P$‎, ‎as well as the possible forms of generalized derivations satisfying certain algebraic identities on $\mathcal{R}.$ We give results on strong commutativity‎, ‎preserving generalized derivations of prime rings‎, ‎using our theorems‎. ‎Finally‎, ‎an example is given to show that the restrictions on the ideal $P$ are not superfluous.‎ https://jart.guilan.ac.ir/article_7143_d8d2dd6ce0bc6a2a8247e0939a2d5093.pdf