Version 1
: Received: 23 September 2024 / Approved: 24 September 2024 / Online: 24 September 2024 (11:59:35 CEST)
How to cite:
Ali, S.; Y. Hummdi, A.; Rafiquee, N. N.; Varshney, V.; Wong, K. Symmetric Reverse $n$-Derivations on Ideals of Semiprime Rings. Preprints2024, 2024091852. https://doi.org/10.20944/preprints202409.1852.v1
Ali, S.; Y. Hummdi, A.; Rafiquee, N. N.; Varshney, V.; Wong, K. Symmetric Reverse $n$-Derivations on Ideals of Semiprime Rings. Preprints 2024, 2024091852. https://doi.org/10.20944/preprints202409.1852.v1
Ali, S.; Y. Hummdi, A.; Rafiquee, N. N.; Varshney, V.; Wong, K. Symmetric Reverse $n$-Derivations on Ideals of Semiprime Rings. Preprints2024, 2024091852. https://doi.org/10.20944/preprints202409.1852.v1
APA Style
Ali, S., Y. Hummdi, A., Rafiquee, N. N., Varshney, V., & Wong, K. (2024). Symmetric Reverse $n$-Derivations on Ideals of Semiprime Rings. Preprints. https://doi.org/10.20944/preprints202409.1852.v1
Chicago/Turabian Style
Ali, S., Vaishali Varshney and KokBin Wong. 2024 "Symmetric Reverse $n$-Derivations on Ideals of Semiprime Rings" Preprints. https://doi.org/10.20944/preprints202409.1852.v1
Abstract
This paper focuses on examining a new type of $n$-additive maps called the symmetric reverse $n$-derivations. As implied by its name, it combines the ideas of $n$-additive maps and reverse derivations, with a $1$-reverse derivation being the ordinary reverse derivation. We explore several findings that expand our knowledge of these maps, particularly their presence in semiprime rings and the way rings respond to specific functional identities involving elements of ideals. Also, we provide examples to help clarify the concept of symmetric reverse $n$-derivations. This study aims to deepen the understanding of these symmetric maps and their properties within mathematical structures.
Computer Science and Mathematics, Algebra and Number Theory
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.