This paper discusses the theory of similarity of matrices over a commutative Artinian principal ideal ring R. It is shown that for the class matrices A such that R[A] is R-free a "rational" canonical form is available. © 1978.
McDonald, B. R. (1978). Similarity of matrices over Artinian principal ideal rings. Linear Algebra and Its Applications, 21(2), 153–162. https://doi.org/10.1016/0024-3795(78)90039-3