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矩阵的多行拟相合分类及其应用
引用本文:赵嗣元.矩阵的多行拟相合分类及其应用[J].数学学报,1996,39(5):585-589.
作者姓名:赵嗣元
作者单位:上海师范大学应用统计与科学计算研究所
摘    要: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.

关 键 词:矩阵,分类,正方阵,拟相合分类,长方阵,多行拟相合分类,环,代数,同构分类
收稿时间:1995-1-11

Multi-Row Quasi-Cogrendience Classification of Matrices and It's Application
Zhao Siyuan.Multi-Row Quasi-Cogrendience Classification of Matrices and It''s Application[J].Acta Mathematica Sinica,1996,39(5):585-589.
Authors:Zhao Siyuan
Institution:Zhao Siyuan(Department of Mathematics, Shanghai Normal University,Shanghai 200234, China)
Abstract: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.
Keywords:MatriX  Classification  Square matrix  Quasi-cogredience classification  Rectangular matrix  Multi-row quasi-cogredience classification  Ring  Algebra  Isomorphism Classification
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