| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4602185 | Linear Algebra and its Applications | 2009 | 8 Pages |
Abstract
In this paper, we characterize invertible matrices over an arbitrary commutative antiring S with 1 and find the structure of GLn(S). We find the number of nilpotent matrices over an entire commutative finite antiring. We prove that every nilpotent n×n matrix over an entire antiring can be written as a sum of ⌈log2n⌉ square-zero matrices and also find the necessary number of square-zero summands for an arbitrary trace-zero matrix to be expressible as their sum.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
