矩阵的多行拟相合分类及其应用

Multi-Row Quasi-Cogrendience Classification of Matrices and It's Application

本文把方阵的拟相合概念推广为长方阵的多行拟相合概念，并对最简情形即Ｍ２，４（Ｆｐ）给出分类结果．此概念之一应用出现在有限环的同构分类之中．

Generalizing the notion of quasi-cogredience of square matrices, this paper advances the notion of multi-row quasi-cogredience of rectangular matrices with all entries in a field F and a square number as it's number of columns,and gives out the result of the 2-row quasicogredience classification of M2,4(Fp)──the simplest case.One of it's applications appears in the isomorphism classification of finite rings.