Inverse-preserving linear maps between spaces of matrices over fields
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Publication:2508611
DOI10.1007/s10114-005-0658-6zbMath1105.15004OpenAlexW2096951364MaRDI QIDQ2508611
Publication date: 13 October 2006
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-005-0658-6
Theory of matrix inversion and generalized inverses (15A09) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Linear transformations, semilinear transformations (15A04)
Related Items (2)
On the idempotency, involution and nilpotency of a linear combination of two matrices ⋮ Additive preservers of idempotence and Jordan homorphisms between rings of square matrices
Cites Work
- Linear preservers on matrices
- Linear preserver problems: A brief introduction and some special techniques
- Linear preservers on powers of matrices
- Linear maps preserving idempotence on matrix modules over principal ideal domains
- Linear operators preserving adjoint matrix between matrix spaces
- Additive operators preserving idempotent matrices over fields and applications
- Linear Preserver Problems
- Linear Transformations on Algebras of Matrices: The Invariance of the Elementary Symmetric Functions
- Additive maps preserving M-P inverses of matrices over Fields∗
- Linear mappings preserving square-zero matrices
- Modular automorphisms preserving idempotence and Jordan isomorphisms of triangular matrices over commutative rings
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