Abstract
One of the most studied linear preserver problems is the problem of characterizing maps preserving commutativity. In this paper we study maps preserving commutativity on a Lie ideal L of a prime algebra A. We show by an example that in general we cannot expect the same standard conclusion as in the case when L=A. Therefore we confine ourselves to some special classes of algebras where the usual result can be proved.
Original language | English |
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Pages (from-to) | 361-368 |
Number of pages | 8 |
Journal | Linear Algebra and its Applications |
Volume | 371 |
Issue number | SUPPL. |
DOIs | |
Publication status | Published - 15 Sept 2003 |
Externally published | Yes |
Keywords
- Commutativity-preserving maps
- Lie ideal
ASJC Scopus subject areas
- Algebra and Number Theory
- Numerical Analysis
- Geometry and Topology
- Discrete Mathematics and Combinatorics