Linear Maps Preserving Idempotency of Products of Matrices on Upper Triangular Matrix Algebras
Cited by
Export citation
- BibTex
- RIS
- TXT
@Article{CMR-25-253,
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 = {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:
Copy to clipboard