| Title: | Rank-permutable additive mappings |
|---|
| Authors: | Alieva, Anna A. (Author)
Guterman, Aleksandr Èmilevič (Author)
Kuzma, Bojan (Author) |
|---|
| Files: |  http://dx.doi.org/10.1016/j.laa.2005.11.003
|
|---|
| Language: | English |
|---|
| Work type: | Not categorized |
|---|
| Tipology: | 1.01 - Original Scientific Article |
|---|
| Organization: | IAM - Andrej Marušič Institute |
|---|
| Abstract: | Let ▫$\sigma$▫ be a fixed non-identical permutation on ▫$k$▫ elements. Additive bijections ▫$T$▫ on the matrix algebra ▫$M_n(\mathbb{F})$▫ over a field ▫$\mathbb{F}$▫ of characteristic zero, with the property that ▫$\rm{rk} (A_1...A_k) = \rm{rk} (A_{\sigma(1)}...A_{\sigma(k)})$▫ 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. |
|---|
| Keywords: | mathematics, linearna algebra, matrix algebra, rank, permutation, additive preservers |
|---|
| Year of publishing: | 2006 |
|---|
| Number of pages: | str. 607-616 |
|---|
| Numbering: | Vol. 414, iss. 2-3 |
|---|
| ISSN: | 0024-3795 |
|---|
| UDC: | 511.643 |
|---|
| COBISS_ID: | 13949273  |
|---|
| Views: | 2632 |
|---|
| Downloads: | 85 |
|---|
| Metadata: |     |
|---|
| Categories: | Document is not linked to any category. |
|---|
|
:
|
|
|---|
| | | | Average score: | (0 votes) |
|---|
| Your score: | Voting is allowed only to logged in users. |
|---|
| Share: |  |
|---|
Hover the mouse pointer over a document title to show the abstract or click
on the title to get all document metadata. |
