@Article{CMR-25-3, author = {Qi, Jing and JI, Guoxing}, title = {Linear Maps Preserving Idempotency of Products of Matrices on Upper Triangular Matrix Algebras}, journal = {Communications in Mathematical Research }, year = {2009}, volume = {25}, number = {3}, pages = {253--264}, abstract = {

Let $\mathcal{T}_n$ 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.

}, issn = {2707-8523}, doi = {https://doi.org/2009-CMR-19332}, url = {https://global-sci.com/article/81948/linear-maps-preserving-idempotency-of-products-of-matrices-on-upper-triangular-matrix-algebras} }