| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 394012 | Information Sciences | 2010 | 10 Pages |
Abstract
This paper deals with invertible matrices and semilinear spaces over commutative semirings. Some necessary and sufficient conditions for matrices to be invertible over commutative semirings are obtained. The condition under which the cardinality of each basis of semilinear space of n-dimensional vectors is n is given. In the end, the factor rank of matrices over semirings is investigated.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Shan Zhao, Xue-ping Wang,