Research articles
ScienceAsia 46 (2020): 738745 doi:
10.2306/scienceasia15131874.2020.088
Multiplicative Jordan derivations on triangular
nmatrix rings
Huimin Chen, Xiaofei Qi^{*}
ABSTRACT: Let T be a triangular nmatrix ring (n ? 2) and ? : T ! T a map. It is shown that ? is a multiplicative
Jordan derivation if and only if one of the statements holds: (1) if T is 2torsion free, then ? is an additive derivation;
(2) if T is 2torsion, under some mild assumptions, then ?(X ) = d(X ) + ?(X ) holds for all X 2 T , where d : T ! T
is an additive derivation and ? is a map from T into its center vanishing on all elements X Y + Y X for X, Y 2 T . This
generalizes some related known results.
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^{a} 
School of Mathematical Science, Shanxi University, Taiyuan 030006 China 
* Corresponding author, Email: xiaofeiqisxu@aliyun.com
Received 24 Jul 2020, Accepted 21 Oct 2020
