分配格L上方阵的收敛性与伴随矩阵

THE CONVERGENCE AND ADJOINT MATRIX OF A SOUARE MATRIX OVER DISTRIBUTIVE LATTICE L

证明了分配格Ｌ上的准自反矩阵Ａ（满足条件ａ（１１）＝···ａ（ｍｎ）≥ａ（ｉｊ）的矩阵）的伴随矩阵ａｄｊＡ与收敛指数ｉ（Ａ）之间的关系ａｄｊＡ＝Ａ（Ｉ（Ａ）．从而得到Ａ幂等的一个充要条件为Ａ＝ａｄｊＡ及Ａ的伴随矩阵ａｄｊＡ的一些性质。

This paper has proved that adjA=A(i(A),the relation between the adjoint matrix adjAand convergent index i(A) for a quasi reflexive matrix A(a matrix when the condition a(11)=…a(nm)a(ij) is met)over a distributive lattice L,and has obtained a necessary and sufficientcondition for the idempotency of A,namely A=adjA,and some properties related to th.adjoint matrix adjA.