Abstract
Let D be a division ring and let Mn(D) be the ring of all n×n matrices over D with center Z, where n≥2 is an integer. We describe the additive map f: Mn (D)→ Mn (D) such that f(x)x-xf(x)∈Z for all invertible (singular) x∈Mn(D).
Original language | English |
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Pages (from-to) | 318-324 |
Number of pages | 7 |
Journal | Linear Algebra and Its Applications |
Volume | 440 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2014 Jan 1 |
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
- Numerical Analysis
- Geometry and Topology
- Discrete Mathematics and Combinatorics