Idempotence-preserving maps without the linearity and surjectivity assumptions
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Publication:1434392
DOI10.1016/j.laa.2004.02.011zbMath1051.15005OpenAlexW2020245925MaRDI QIDQ1434392
Publication date: 4 August 2004
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2004.02.011
Related Items (11)
Maps on spaces of symmetric matrices preserving idempotence ⋮ Maps on infinite triangular matrices preserving idempotents ⋮ A note on idempotence-preserving maps ⋮ A note on \(k\)-potence preserving maps ⋮ Maps on upper-triangular matrix algebras preserving \(k\)-potences ⋮ Idempotence preserving maps on space of triangular matrices ⋮ Maps preserving square-zero matrices on the algebra consisting of all upper triangular matrices ⋮ \(k\)-potence preserving maps without the linearity and surjectivity assumptions ⋮ Maps on \({\mathcal B}({\mathcal H})\) preserving involution ⋮ Maps preserving idempotence on matrix spaces ⋮ Idempotence preserving maps between matrix spaces
Cites Work
- Linear preservers on powers of matrices
- Maps on matrix algebras preserving idempotents
- Hua's fundamental theorems of the geometry of matrices and related results
- Automorphisms of the poset of skew projections
- Linear Preserver Problems
- Modular automorphisms preserving idempotence and Jordan isomorphisms of triangular matrices over commutative rings
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