Symmetric Reverse n-Derivations on Ideals of Semiprime Rings

Ali, Shakir and Hummdi, Ali Yahya and Rafiquee, Naira N. and Varshney, Vaishali and Wong, Kok Bin (2024) Symmetric Reverse n-Derivations on Ideals of Semiprime Rings. Axioms, 13 (10). p. 717. ISSN 2075-1680, DOI https://doi.org/10.3390/axioms13100717.

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Official URL: https://doi.org/10.3390/axioms13100717

Abstract

This paper focuses on examining a new type of n-additive map called the symmetric reverse n-derivation. 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 our understanding of these symmetric maps and their properties within mathematical structures.

Item Type: Article
Funders: Deanship of Scientific Research at King Khalid University (KKU), Abha, Saudi Arabia, King Khalid University King Saud University (RGP: 2/293/45), Abha, Saudi Arabia through a large group research project
Uncontrolled Keywords: semiprime ring; ideal; symmetric n-derivation; symmetric reverse n-derivation; derivation; trace of symmetric map
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Institute of Mathematical Sciences
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 17 Feb 2025 02:27
Last Modified: 17 Feb 2025 02:27
URI: http://eprints.um.edu.my/id/eprint/47431

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