Idempotence-preserving maps without the linearity and surjectivity assumptions

DOI10.1016/j.laa.2004.02.011zbMath1051.15005OpenAlexW2020245925MaRDI QIDQ1434392

Xian Zhang

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

zbMATH Keywords

surjectivityidempotent matrices

Mathematics Subject Classification ID

Linear transformations, semilinear transformations (15A04)

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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