代数系统坡上的可逆矩阵

Invertible Matrices over Algebraic System Incline

将有界分配格上可逆矩阵的有关结果推广到坡上的矩阵。给出坡上方阵A的一些可逆条件,证明了A可逆当且仅当A的任一行元素之和是1,且处在同一列不同行上的任意两个元素之积是0。

Some results related to invertible matrices over bounded distributive lattice are generalized to matrices over indine. Some invertible conditions for a matrix A over the incline are given and it is proved that A is invertible if and only if the sum of the elements in arbitrary row is 1 and the product of any two elements in different row and same column is 0.