|
|||||
|
|
Linear operators that preserve maximal column rank of boolean matrices |
|
| Authors: | Suk-Geun Hwang Si-Ju Kim Seok-Zun Song |
| Institution: | a Department of Mathematics Education, Teachers College Kyungpook University, Taegu, Republic of Korea b Department of Mathematics Education, Andong university, Andong c Department of Mathematics, Cheju National University, Cheju, Republic of Korea |
| Abstract: | This paper concerns two notions of column rank of matrices over semirings; column rank and maximal column rank. These two notions are the same over fields but differ for matrices over certain semirings. We determine how much the maximal column rank is different from the column ran for all m×n matrices over many semirings. We also characterize the linear operators which preserve the maximal column rank of Boolean matrices. |
| Keywords: | |
| 本文献已被 InformaWorld 等数据库收录！ | |