Linear maps preserving matrices annihilated by a fixed polynomial

Chi-Kwong Li, Ming-Cheng Tsai, Ya-Shu Wang +1

Let ${\mathbf{M}}_n(\mathbb{F})$ be the algebra of $n\times n$ matrices over an arbitrary field $\mathbb{F}$. We consider linear maps $Φ: {\bf M}_n(\mathbb{F}) \rightarrow {\bf M}_r(\ma…