Let $R$ be a non-commutative ring and consider $R$ as a subring of $M_n (R)$ the ring of $n\times n$ matrices with entries in $R$. Let $A\in M_n (R)$. I was wondeing if someone could give a reference for the formal definition of the minimal polynomial of $A$ and a theorem for its existence. Thank you very much in advance.
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$\begingroup$ Did you encounter this notion in a text? Could you link it, please? $\endgroup$– Amateur_AlgebraistCommented May 8 at 9:03
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1$\begingroup$ @Amateur_Algebraist Yes. Sure. In this paper: sciencedirect.com/science/article/abs/pii/S0024379522000507 $\endgroup$– MahtabCommented May 8 at 11:03
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