Additive maps on invertible matrices

DOI10.1080/03081087.2015.1082962zbMath1377.15004OpenAlexW1772167563MaRDI QIDQ5741206

Xiaofei Yi, Yue Pei, Xiao Wei Xu

Publication date: 22 July 2016

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2015.1082962

zbMATH Keywords

invertible matricesadditive mapsring of matrices

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Endomorphism rings; matrix rings (16S50) Algebraic systems of matrices (15A30) Linear transformations, semilinear transformations (15A04)

Related Items (12)

Nonadditive strong commutativity preserving maps on rank-k matrices over division rings ⋮ Unnamed Item ⋮ Additive maps on rank-smatrices ⋮ Additive maps of rankrtensors and symmetric tensors ⋮ Commuting maps on rank k triangular matrices ⋮ Central traces of multiadditive maps on invertible matrices ⋮ Maps determined by rank-\(s\) matrices for relatively small \(s\) ⋮ Power commuting additive maps on invertible or singular matrices ⋮ Power commuting additive maps on rank-klinear transformations ⋮ Centralizing additive maps on rank r block triangular matrices ⋮ Commuting maps on invertible triangular matrices over \(\mathbb{F}_2\) ⋮ Additive mappings and identities on unit groups of algebraic algebras

Cites Work

• Commuting maps on some subsets of matrices that are not closed under addition
• 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.
• Commuting maps on rank-k matrices

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