On maps preserving square roots of idempotent and rank-one nilpotent matrices

DOI10.1142/S0219498822501237zbMath1495.15040MaRDI QIDQ5863513

Nikita Borisov, Hayden Julius, Martha Sikora

Publication date: 1 June 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

idempotentlinear preserver problemsquare rootnilpotent

Mathematics Subject Classification ID

Linear transformations, semilinear transformations (15A04) Linear preserver problems (15A86)

Related Items (2)

Surjective linear transformations of tropical matrices preserving transitive closures ⋮ Linear preservers for matrices over a class of semirings

Cites Work

• On maps preserving zero Jordan products.
• Linear maps that preserve matrices annihilated by a polynomial
• Linear preserver problems: A brief introduction and some special techniques
• Linear maps that preserve commuting pairs of matrices
• Maps on simple algebras preserving zero products. I: The associative case
• On maps preserving products of matrices
• On maps preserving Lie products equal to a rank-one nilpotent
• On Maps Preserving Products
• Linear mappings preserving square-zero matrices
• Linear Operators Preserving Similarity Classes and Related Results
• On maps preserving Lie products equal to e₁₁ - e₂₂
• On maps preserving rank-one nilpotents
• On maps sending rank-κ idempotents to idempotents
• On maps preserving products equal to a rank-one idempotent
• On maps preserving products equal to a diagonalizable matrix

This page was built for publication: On maps preserving square roots of idempotent and rank-one nilpotent matrices