Abstract
We consider maps φ of triangular infinite matrices over fields F of characteristic different from 2, that have the following property: x - λy is idempotent if and only if φ(x)-λφ(y) is idempotent for all λ ε F. We show that every such map is a sum of compositions of some standard maps.
| Original language | English |
|---|---|
| Pages (from-to) | 938-964 |
| Number of pages | 27 |
| Journal | Linear and Multilinear Algebra |
| Volume | 62 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - Jul 2014 |
Keywords
- idempotent
- infinite triangular matrix
- preserver
ASJC Scopus subject areas
- Algebra and Number Theory
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