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Rank 1 preservers on the unitary Lie ring
Published online by Cambridge University Press: 09 April 2009
Abstract
The surjective additive maps on the Lie ring of skew-Hermitian linear transformations on a finite-dimensional vector space over a division ring which preserve the set of rank 1 elements are determined. As an application, maps preserving commuting pairs of transformations are determined.
MSC classification
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 49 , Issue 3 , December 1990 , pp. 399 - 417
- Copyright
- Copyright © Australian Mathematical Society 1990
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