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.
作者
刘瑾
Liu Jin(School of Mathematics,Northwest University,Xi'an 710127,China)
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).
关键词
伪环
秩
列秩
线性算子
pseudo-ring
rank
column rank
linear operator
