欧氏环上某些矩阵特征性质的刻化

Fortraying Characterizations of Some Matrices Over a Euclidean Ring

设Ｒ是一个欧氏环。本文首先给出Ｒ上矩阵多项式的秩的一个定理，然后用此定理刻化了Ｒ上某些矩阵的特征性质。

Let R be a Euclidean ring.In this paper we first give a theorem of rank of matrix polynomial over R and then portray the characterizations of some matrices over R by the theorem.