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.
Rehman, N. , Alnoghashi, H. M. and Hongan, M. (2022). A note on generalized derivations on prime ideals. Journal of Algebra and Related Topics, 10(1), 159-169. doi: 10.22124/jart.2021.20131.1291
MLA
Rehman, N. , , Alnoghashi, H. M. , and Hongan, M. . "A note on generalized derivations on prime ideals", Journal of Algebra and Related Topics, 10, 1, 2022, 159-169. doi: 10.22124/jart.2021.20131.1291
HARVARD
Rehman, N., Alnoghashi, H. M., Hongan, M. (2022). 'A note on generalized derivations on prime ideals', Journal of Algebra and Related Topics, 10(1), pp. 159-169. doi: 10.22124/jart.2021.20131.1291
CHICAGO
N. Rehman , H. M. Alnoghashi and M. Hongan, "A note on generalized derivations on prime ideals," Journal of Algebra and Related Topics, 10 1 (2022): 159-169, doi: 10.22124/jart.2021.20131.1291
VANCOUVER
Rehman, N., Alnoghashi, H. M., Hongan, M. A note on generalized derivations on prime ideals. Journal of Algebra and Related Topics, 2022; 10(1): 159-169. doi: 10.22124/jart.2021.20131.1291
)
