Symmetric Reverse n-Derivations on Ideals of Semiprime Rings
Document Type
Article
Publication Date
10-1-2024
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.
Keywords
semiprime ring, ideal, symmetric n-derivation, symmetric reverse n-derivation, derivation, trace of symmetric map
Divisions
MathematicalSciences
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
Publication Title
Axioms
Volume
13
Issue
10
Publisher
MDPI
Publisher Location
ST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLAND