Maps determined by rank-\(s\) matrices for relatively small \(s\)

DOI10.1007/s00010-017-0469-8zbMath1367.15002OpenAlexW2587626554MaRDI QIDQ525092

Jianwei Zhu, Chen Li, Xiao Wei Xu

Publication date: 28 April 2017

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-017-0469-8

zbMATH Keywords

additive mapsnonadditive subsetsrank-\(s\) matrices

Mathematics Subject Classification ID

Factorization of matrices (15A23) Linear transformations, semilinear transformations (15A04) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items

Central traces of multiadditive maps on invertible matrices, Power commuting additive maps on rank-klinear transformations

Cites Work

• Unnamed Item
• Commuting maps on some subsets of matrices that are not closed under addition
• Commuting maps: a survey.
• Commuting maps on rank-\(k\) matrices
• Strong commutativity preserving maps on subsets of matrices that are not closed under addition
• Centralizing mappings and derivations in prime rings
• Centralizing maps on invertible or singular matrices over division rings.
• Weakly commuting maps on the set of rank-1 matrices
• Additive maps on rank-smatrices
• Commuting maps on rank-k matrices
• Additive maps on invertible matrices