数学研究
數學研究
수학연구
JOURNAL OF MATHEMATICAL STUDY
2008年
1期
1-12
,共12页
代数%完备分配格%矩阵方程%最小解%极大解
代數%完備分配格%矩陣方程%最小解%極大解
대수%완비분배격%구진방정%최소해%겁대해
Algebra%complete and distributive lattice%matrix equation%minimal solution%maximal solution
给出了完备分配格上∧-→型矩阵方程可解的充要条件.并且求出了该类方程的所有极大.
給齣瞭完備分配格上∧-→型矩陣方程可解的充要條件.併且求齣瞭該類方程的所有極大.
급출료완비분배격상∧-→형구진방정가해적충요조건.병차구출료해류방정적소유겁대.
In this paper, some necessary and sucient conditions for the solvability of right ∧-→ matrix equations over complete and distributive lattices are given and the maximal solutions to this kind of matrix equations are obtained.
