宁夏大学学报（自然科学版）2002，Vol.23Issue(2)：114-117,4.
关于主理想整环上的矩阵
On the matrices over a principal ideal domain
摘要
Abstract
In this paper, it is proved that any couple of matrices over a principal ideal domain (or PID) have a right greatest common divisor and any couple of nonsingular matrices have a left least common multiple, and also, any nonsingular and irreversible matrix over a PID can be expressed as product of finite number of prime matrices.关键词
主理想整环/右最大公因子/左最小公倍/素矩阵Key words
principal ideal domain/right greatest common divisor/left least common multiple/prime matrix分类
数理科学引用本文复制引用
谭宜家..关于主理想整环上的矩阵[J].宁夏大学学报（自然科学版）,2002,23(2):114-117,4.基金项目
Supported by the Programme Foundation to the Educational Committee of Fujian (K20016) （K20016）
Fund for Science & Technical Development Foundation of Fuzhou University (XKJ(QD) - O135) （XKJ(QD）
