TY - JOUR
T1 - Linear Maps Preserving Idempotency of Products of Matrices on Upper Triangular Matrix Algebras
AU - Qi , Jing
AU - Ji , Guoxing
JO - Communications in Mathematical Research 
VL - 3
SP - 253
EP - 264
PY - 2021
DA - 2021/07
SN - 25
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cmr/19332.html
KW - linear map, matrix, idempotent, product of two matrices, triple Jordan product of two matrices.
AB - <p style="text-align: justify;">Let&nbsp;$\mathcal{T}_n$ be the algebra of all $n × n$ complex upper triangular matrices. We give the concrete forms of linear injective maps on $\mathcal{T}_n$ which preserve the nonzero idempotency of either products of two matrices or triple Jordan products of two matrices.</p>