@article{Ali2023, 
author = {Shakir Ali and Amal S. Alali and Sharifah K. Said Husain and Vaishali Varshney},
title = {Symmetric    n-derivations on prime ideals with applications},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {11},
pages = {27573-27588},
keywords = {derivation, prime ideal, prime ring, derivation, symmetric derivation, symmetric n-derivation},
url = {https://www.sciopen.com/article/10.3934/math.20231410},
doi = {10.3934/math.20231410},
abstract = {Let        S   be a ring. The main objective of this paper is to analyze the structure of quotient rings, which are represented as        S        /        P  , where        S   is an arbitrary ring and        P   is a prime ideal of        S  . The paper aims to establish a link between the structure of these rings and the behaviour of traces of symmetric    n-derivations satisfying some algebraic identities involving prime ideals of an arbitrary ring        S  . Moreover, as an application of the main result, we investigate the structure of the quotient ring        S        /        P   and traces of symmetric    n-derivations.}
}