分配伪格上的可逆矩阵(英文)  

Invertible Matrices Over Distributive Pseudo-lattices

作　　者：张国勇[1] 

机构地区：[1]福建交通职业技术学院基础部,福州350007

出　　处：《工程数学学报》2009年第5期797-805,共9页Chinese Journal of Engineering Mathematics

基　　金：The Natural Science Foundation of Fujian Province (2008J0186)

摘　　要：本文介绍了分配伪格上的可逆矩阵,获得分配伪格上矩阵可逆的一些充分必要条件,也证明了在整的分配伪格上,矩阵可逆当且仅当它是一个置换矩阵。这些结果推广了分配格和交换坡上已有关于可逆矩阵的结果。A complete description of the invertible matrices over a distributive pseudo-lattice is given,some necessary and suffcient conditions for a matrix over a distributive pseudo-lattices to be invertible are obtained. Moreover,it is proved that a matrix is invertible if and only if it is a permutation matrix over an integral distributive pseudo-lattice. These results can be regarded as generalizations of the previous results on the invertible matrices over distributive lattices and commutative inclines.

关 键 词：分配伪格 可逆矩阵 正交 

分 类 号：O151.2[理学—数学]