| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4603859 | Linear Algebra and its Applications | 2006 | 10 Pages |
Abstract
Let σ be a fixed non-identical permutation on k elements. Additive bijections T on the matrix algebra Mn(F) over a field F of characteristic zero, with the property that rk(A1⋯Ak)=rk(Aσ(1)⋯Aσ(k)) implies the same condition on the T images, are characterized. It is also shown that the surjectivity assumption can be relaxed, if this property is preserved in both directions.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
