Bull. Korean Math. Soc. 2023; 60(5): 1281-1293
Online first article July 10, 2023 Printed September 30, 2023
https://doi.org/10.4134/BKMS.b220654
Copyright © The Korean Mathematical Society.
Karim Bouchannafa, Moulay Abdallah Idrissi, Lahcen Oukhtite
Sidi Mohamed Ben Abdellah University-Fez; Sidi Mohamed Sultan Moulay Slimane University-Beni Mellal; Sidi Mohamed Ben Abdellah University-Fez
The purpose of this paper is to study the relationship between the structure of a factor ring $R/P$ and the behavior of some derivations of $R$. More precisely, we establish a connection between the commutativity of $R/P$ and derivations of $R$ satisfying specific identities involving the prime ideal $P$. Moreover, we provide an example to show that our results cannot be extended to semi-prime ideals.
Keywords: Prime ideals, factor ring, derivations, commutativity
MSC numbers: Primary 16U80, 16W25, 16N60
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