伪环上矩阵列秩的若干研究  

Some studies on the rank of a matrix column over pseudo-ring

作　　者：刘瑾 Liu Jin(School of Mathematics,Northwest University,Xi'an 710127,China)

机构地区：[1]西北大学数学学院,陕西西安710127

出　　处：《纯粹数学与应用数学》2020年第3期346-356,共11页Pure and Applied Mathematics

基　　金：国家自然科学基金(11571278,11801239).

摘　　要：探讨了伪环上矩阵的最大列秩和秩的关系.给出了伪环上矩阵的秩和最大列秩相等的判定条件.同时,刻画了伪环上矩阵保持秩以及保持最大列秩的线性算子.We discuss the relation between the maximum column rank and rank of a matrix over pseudo-ring.The conditions for judging the rank of the maximum column of matrix on the pseudo-ring are given.Meanwhile,linear operators of matrix rank preserving and maximum column rank preserving on pseudo-ring are described.

关 键 词：伪环 秩 列秩 线性算子 

分 类 号：O178[理学—数学]