| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4602237 | Linear Algebra and its Applications | 2008 | 11 Pages |
Abstract
In this paper, the nilpotent matrices over commutative antirings are characterized in terms of principal permanental minors, main diagonals and permanental adjoint matrices, and a necessary and sufficient condition for a nilpotent matrix over a commutative antiring which has a given nilpotent index is obtained. Also, a method for calculating the nilpotent index of any nilpotent matrix over a commutative entire antiring is given.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
