Z_(min)上秩-1矩阵的周长不等式及线性保持算子  

Perimeter Inequality and Linear-Preserving Operators of Rank-1 Matrices over Z_(min)

作　　者：张廷海[1] 邓中书[2] 

机构地区：[1]江西师范大学数学与信息科学学院,南昌330022 [2]南昌大学期刊社,南昌330047

出　　处：《吉林大学学报（理学版）》2015年第6期1081-1085,共5页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11261021);江西省自然科学基金(批准号:20132BAB201007)

摘　　要：利用Boolean秩-1矩阵的周长保持性质和Boolean代数B与Zmin上矩阵之间支配关系的等价性获得了Zmin上秩-1矩阵和的周长所满足的不等式,保持其秩与周长的线性算子以及保持秩-1和周长2的性质.Based on the preserving properties of the perimeter of Boolean rank-1 matrices and the equivalence of the dominating relation between matrices over Boolean algebra B and Zmin,the inequality on the perimeter of the sum of two rank-1 matrices over Zmin and the linear operator of preserving the rank and perimeter.At last it get the properties of preserving the rank and perimeter 2of rank-1matrices over Zmin.

关 键 词：秩-1矩阵 周长 支配 模型 (U V)-算子 

分 类 号：O151.21[理学—数学]