分配格上矩阵可逆的条件和性质  

Conditions and properties of matrix invertibility over distributive lattices

作　　者：刘月明 吴妙玲[1] 张晴 LIU Yueming;WU Miaoling;ZHANG Qing(School of science,Inner Mongolia university of technology,Hohhot 010051,China)

机构地区：[1]内蒙古工业大学理学院,呼和浩特010051

出　　处：《内蒙古工业大学学报（自然科学版）》2022年第1期1-5,共5页Journal of Inner Mongolia University of Technology：Natural Science Edition

基　　金：内蒙古自治区十三五规划项目(NGJGH2020055)。

摘　　要：介绍了分配格上可逆矩阵A所满足的条件,给出了A的行列正交性、1分解性以及An的不等式性质和等式性质,举例说明了A的行列式可以表示为A的任意k行元素的k阶子式和它们的余子式乘积之和.The conditions satisfying the invertible matrix A on the distributive lattice are introduced.The orthogonality of ranks and columns,the factorization of 1 and the inequality and equality properties of An are given.It is illustrated that the determinant of A can be expressed as the sum of the product of k-th order subforms of any k row elements of A and their remainders.

关 键 词：分配格 可逆矩阵 k阶子式 

分 类 号：O153[理学—数学]