摘要
设L是分配略,本文给出了L上的矩阵方程AX=B即方程组金(?)之解的求法,以及该方程有解的一个充要条件。
Let L be a distributive lattice. Matrix equations of the form AX=B are consi dered in L, where A =(a_li)_(mn), B=(b_1,…,b_m)', a, b_1∈L. Necessary and suffieient condi- tions for the solvability of the equation are obtained. In the solvable case, the entire solution set is determined. In this paper, we introduce the concepts of residue and dual residue for distributive lattices. Defintion 1 Let L be a distributive lattice, a, b∈L (?) then [a]_b is said to be the residue of a for b. (?) then [a]_b is said to be the dual residue of a for b.
出处
《内蒙古大学学报（自然科学版）》
CAS
CSCD
1991年第3期311-316,共6页
Journal of Inner Mongolia University：Natural Science Edition
关键词
分配格
余
对偶余
矩阵方程
distributive lattice
residue
dual residue
