Abstract
The classification of semilinear transformations preserving the determinant over a noncommutative local ring is given. For local Ore domains we obtain a classification of Adjamagbo determinant preservers. The developed technique allows us to classify Dieudonné determinant preservers for division rings which may be infinite dimensional over the center.
Original language | English |
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Pages (from-to) | 293-311 |
Number of pages | 19 |
Journal | Linear and Multilinear Algebra |
Volume | 48 |
Issue number | 4 |
DOIs | |
State | Published - 2001 |
Externally published | Yes |
Bibliographical note
Funding Information:*This work is partially supported by RFBR Grants NN 96-15-96050, 99-01-00382. +,-mail: [email protected]
Keywords
- Dieudonné determinant
- Linear preservers
- Local rings