分配格中矩阵的可逆条件  

Invertible Conditions for A Matrix Over Distributive Lattice

作　　者：赵萃魁[1] 

机构地区：[1]内蒙古大学数学系

出　　处：《内蒙古大学学报（自然科学版）》1991年第4期477-480,共4页Journal of Inner Mongolia University：Natural Science Edition

摘　　要：设L为一有界的分配格,以0和1分别表示L的最小元和最大元。本文给出L上的矩阵A=[a_(ij)]_■可逆的充分必要条件是它满足:■和■这简化了文中的条件,并且放宽了对格L的要求。Let L be a bounded distributive lattice. The least element of L is denoted by 0 and the largest element by 1. In this paper, we give some invertible conditions for a matrix over the lattice L. Our conclusion is that a L-matrix A =[a_(ij)],x. is invertible if and only if the following conditions are satisfied: when i≠k. This result is a simplification of [1].

关 键 词：分配格 矩阵 逆矩阵 

分 类 号：O153.1[理学—数学]