| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4602255 | Linear Algebra and its Applications | 2009 | 6 Pages |
Abstract
We show that a linear transformation on a vector space is a sum of two commuting square-zero transformations if and only if it is a nilpotent transformation with index of nilpotency at most 3 and the codimension of in kerT is greater than or equal to the dimension of the space . We also characterize products of two commuting unipotent transformations with index 2.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
