摘要
坡是两个元素的乘积小于等于每个因子的加法幂等半环.讨论了可逆坡矩阵的若干性质,证明了可逆坡矩阵必是满秩的.讨论了坡矩阵的行秩、列秩与Schein秩.给出了坡矩阵的Schein秩的一个重要性质.
Inclines are additively idempotent senti-rings in which the products are less than or equal to either factor. Some properties of the invertible incline matrices are discussed, and the ranks of the invertible incline matrices are proved to be full. The mw ranks, the column ranks and the Schein ranks of incline matrices are studied and important properties of the Schein ranks of incline matrices are given.
出处
《山东大学学报（理学版）》
CAS
CSCD
北大核心
2007年第9期122-126,共5页
Journal of Shandong University(Natural Science)
基金
山东省自然科学基金资助项目(2004ZX13)
关键词
坡
坡矩阵
可逆坡矩阵
坡矩阵的秩
incline
incline matrix
invertible incline matrix
rank of incline matrix
