强保持传递布尔矩阵的线性算子  

Linear Operators Strongly Preserving Transitive Boolean Matrices

作　　者：韦扬江 周美江 陶冰雨 WEI Yang-jiang;ZHOU Mei-jiang;Tao Bing-yu(School of Mathematics and Statistics,Nanning Normal University,Nanning 530100,China)

机构地区：[1]南宁师范大学数学与统计学院,广西南宁530100

出　　处：《南宁师范大学学报（自然科学版）》2023年第3期29-33,共5页Journal of Nanning Normal University：Natural Science Edition

基　　金：国家自然科学基金(11961050);广西自然科学基金(2020GXNSFAA159053)。

摘　　要：该文研究强保持传递布尔矩阵的线性算子,证明了这类算子将细胞仍变为细胞(细胞是仅有一个非零元的布尔矩阵),从而必为双射.This paper studies linear operators that strongly preserve transitive Boolean matrices.It is proved that this type of operators map cells to cells(a cell is a Boolean matrix that has only one nonzero entry),and hence they are necessarily bijective.

关 键 词：布尔矩阵 传递布尔矩阵 布尔线性算子 细胞 

分 类 号：O159[理学—数学]