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 |
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Pages (from-to) | 127-149 |
Number of pages | 23 |
Journal | Linear Algebra and Its Applications |
Volume | 530 |
DOIs | |
Publication status | Published - 2017 Oct 1 |
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
- Numerical Analysis
- Geometry and Topology
- Discrete Mathematics and Combinatorics