Characterizing $ m $-Jordan $ n $-derivations of triangular rings

AIMS Mathematics 2026 Open access

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Authors: He Yuan, Chuqi Jia, Lili Ma
DOI: 10.3934/math.2026115
Cited by: 0
References: 15

Abstract

This paper explores the relationship between $ m $-derivations and Jordan $ n $-derivations, introducing the concept of $ m $-Jordan $ n $-derivations on triangular rings. By employing the maximal left ring of quotients, we first conduct a detailed analysis of 3-Jordan $ n $-derivations. Subsequently, using an inductive approach, we prove that under specific hypotheses, an $ m $-Jordan $ n $-derivation must be an extremal $ m $-derivation. Finally, we apply the results we obtained to upper triangular matrix rings.

Fields of Study & Subjects

Rings Modules and Algebras Advanced Topics in Algebra Functional Equations Stability Results

Publication details

Journal / source
AIMS Mathematics
Volume
11
Issue
1
Pages
2890–2906
Publication date
1 January 2026