TY - JOUR
ID - 5623
TI - A note on generalized derivations on prime ideals
JO - Journal of Algebra and Related Topics
JA - JART
LA - en
SN - 2345-3931
AU - Rehman, N.
AU - Alnoghashi, H. M.
AU - Hongan, M.
AD - Department of Mathematics
Aligarh Muslim University
Aligarh, India
AD - Department of Mathematics, Seki 772, Maniwa, Okayama, Japan.
Y1 - 2022
PY - 2022
VL - 10
IS - 1
SP - 159
EP - 169
KW - prime ideal
KW - Generalized derivations
KW - integral domain
DO - 10.22124/jart.2021.20131.1291
N2 - 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.
UR - https://jart.guilan.ac.ir/article_5623.html
L1 - https://jart.guilan.ac.ir/article_5623_4b2731c22ceb4a0ffddd7b40329ac424.pdf
ER -