完备Brouwerian格上的T-矩阵方程  

T-matrix Equations in a Complete Brouwerian Lattice

作　　者：杨云[1] 

机构地区：[1]湖北教育学院数学系,湖北武汉430060

出　　处：《甘肃联合大学学报（自然科学版）》2006年第3期7-10,共4页Journal of Gansu Lianhe University :Natural Sciences

摘　　要：利用完备Brouwerian格L上t-模T给出L上矩阵的各种运算,在此基础上研究L上T-矩阵方程A TX=B的求解问题,给出它们有解的条件.当方程的解存在时,其最大解被确定.In this paper, some operations of matrix are given by using t- norm in a complete Brouwerian lattice and the problem of solving T- matrix equation of the form A · rX = B is discussed. Some solvability conditions for T- matrix equations A ·rX = B are obtained. When solutions existed, the largest solution is determined.

关 键 词：完备BROUWERIAN格 T-模 T-矩阵方程 广义逆算子 

分 类 号：O159[理学—数学]