Citation
Ali, Shakir and Alali, Amal S. and Husain, Sharifah K. Said and Varshney, Vaishali
(2023)
Symmetric n-derivations on prime ideals with applications.
AIMS Mathematics, 8 (11).
pp. 27573-27588.
ISSN 2473-6988
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 nderivations 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.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science |
| DOI Number: | https://doi.org/10.3934/math.20231410 |
| Publisher: | American Institute of Mathematical Sciences (AIMS) |
| Keywords: | Derivation; Prime ideal; Prime ring; Symmetric derivation; Symmetric n-derivation; Quality education |
| Depositing User: | Ms. Che Wa Zakaria |
| Date Deposited: | 26 Sep 2024 08:32 |
| Last Modified: | 26 Sep 2024 08:32 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.3934/math.20231410 |
| URI: | http://psasir.upm.edu.my/id/eprint/108840 |
| Statistic Details: | View Download Statistic |
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