摘要
给出了半环上矩阵的行秩、列秩与沙因秩的概念,并讨论了矩阵的一些性质,证明了半环上正则矩阵的行秩、列秩与沙因秩相等,同时证明半环上的可逆矩阵必满秩.
The definition of the row rank, the column rank and the schein rank of matrices over a semiring were given. Their relations and properties were studied, and they were proved to be identical for regular matrix over a semiring. Also, it is proved that the invertible matrices over semiring was full rank.
出处
《海南师范大学学报（自然科学版）》
CAS
2013年第3期239-242,共4页
Journal of Hainan Normal University（Natural Science）
基金
福建省自然科学基金资助项目(有限生成半模的若干问题研究
2012J01008)
福建省教育厅A类科技基金资助项目(半环上矩阵的加权广义逆
JA13402)
关键词
半环
基
秩
正则矩阵
semiring
base
rank
regular matrix
