Volume 25, Issue 3
Linear Maps Preserving Idempotency of Products of Matrices on Upper Triangular Matrix Algebras

Commun. Math. Res., 25 (2009), pp. 253-264.

Published online: 2021-07

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• 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.

• Keywords

linear map, matrix, idempotent, product of two matrices, triple Jordan product of two matrices.

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@Article{CMR-25-253, author = {Jing and Qi and and 18156 and and Jing Qi and Guoxing and Ji and and 18157 and and Guoxing Ji}, title = {Linear Maps Preserving Idempotency of Products of Matrices on Upper Triangular Matrix Algebras}, journal = {Communications in Mathematical Research }, year = {2021}, 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/}, url = {http://global-sci.org/intro/article_detail/cmr/19332.html} }
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 -

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.

JingQi & GuoxingJi. (2021). Linear Maps Preserving Idempotency of Products of Matrices on Upper Triangular Matrix Algebras. Communications in Mathematical Research . 25 (3). 253-264. doi:
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