Quantale矩阵可逆性的刻画  

Characterizations of the invertibility of Quantale matrices

作　　者：韩胜伟[1] 赵彬[1] 

机构地区：[1]陕西师范大学数学与信息科学学院,陕西西安710062

出　　处：《陕西师范大学学报（自然科学版）》2006年第2期16-19,共4页Journal of Shaanxi Normal University：Natural Science Edition

基　　金：国家自然科学基金资助项目(10471083);教育部"高校青年教师奖"基金资助项目(教人司[2000]26)

摘　　要：研究了Quantale矩阵及其行列式的相关性质,给出了Quantale矩阵的逆的定义,并对Quantale矩阵的逆进行了研究,证明了Quantale矩阵是可逆的当且仅当Quantale矩阵的每行每列是正交的,并且每行每列都是1的分解.Some properties of Quantale matrices and the deterninants of Quantale matrices are studied, and the concept of the inverse of a Quantale matrix is defined. A series of properties of the inverses of Quantale matrices are discussed, and it is proved that a Quantale matrix is invertible if and only if both each row and each column of the Quantale matrix are all orthogonal, and each row and each column of the Quantale matrix are decompositions of 1.

关 键 词：QUANTALE QUANTALE矩阵 逆 行列式 

分 类 号：O153.1[理学—数学]