Abstract
Let F be a field and let Mn(F) be the ring of all n×n matrices over F, where n≥2 is an integer. We characterize additive maps f:Mn(F)→Mn(F) satisfying f(x)xm=xmf(x) for all invertible (singular) x∈Mn(F), where m≥2 is an integer.
| Original language | English |
|---|---|
| Pages (from-to) | 127-149 |
| Number of pages | 23 |
| Journal | Linear Algebra and Its Applications |
| Volume | 530 |
| DOIs | |
| Publication status | Published - 2017 Oct 1 |
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All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
- Numerical Analysis
- Geometry and Topology
- Discrete Mathematics and Combinatorics
Cite this
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Power commuting additive maps on invertible or singular matrices. / Liu, Cheng Kai; Yang, Jheng Jie.
In: Linear Algebra and Its Applications, Vol. 530, 01.10.2017, p. 127-149.Research output: Contribution to journal › Article
TY - JOUR
T1 - Power commuting additive maps on invertible or singular matrices
AU - Liu, Cheng Kai
AU - Yang, Jheng Jie
PY - 2017/10/1
Y1 - 2017/10/1
N2 - Let F be a field and let Mn(F) be the ring of all n×n matrices over F, where n≥2 is an integer. We characterize additive maps f:Mn(F)→Mn(F) satisfying f(x)xm=xmf(x) for all invertible (singular) x∈Mn(F), where m≥2 is an integer.
AB - Let F be a field and let Mn(F) be the ring of all n×n matrices over F, where n≥2 is an integer. We characterize additive maps f:Mn(F)→Mn(F) satisfying f(x)xm=xmf(x) for all invertible (singular) x∈Mn(F), where m≥2 is an integer.
UR - http://www.scopus.com/inward/record.url?scp=85019408598&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85019408598&partnerID=8YFLogxK
U2 - 10.1016/j.laa.2017.04.038
DO - 10.1016/j.laa.2017.04.038
M3 - Article
AN - SCOPUS:85019408598
VL - 530
SP - 127
EP - 149
JO - Linear Algebra and Its Applications
JF - Linear Algebra and Its Applications
SN - 0024-3795
ER -