@article{Yuan2026, 
author = {He Yuan and Chuqi Jia and Lili Ma},
title = {Characterizing    m-Jordan    n-derivations of triangular rings},
year = {2026},
journal = {AIMS Mathematics},
volume = {11},
number = {1},
pages = {2890-2906},
keywords = {triangular ring, 3-Jordan n-derivation, m-Jordan n-derivation, extremal m-derivation, maximal left ring of quotients},
url = {https://www.sciopen.com/article/10.3934/math.2026115},
doi = {10.3934/math.2026115},
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.}
}