Weakly commuting maps on the set of rank-1 matrices

DOI10.1080/03081087.2016.1192576zbMath1356.16023OpenAlexW2411638269MaRDI QIDQ2961482

Willian Franca

Publication date: 20 February 2017

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

Full work available at URL: https://doi.org/10.1080/03081087.2016.1192576

zbMATH Keywords

functional identitiescommuting mapsweakly commuting mapsrank-1 matrices

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Functional identities (associative rings and algebras) (16R60)

Related Items (16)

Nonadditive strong commutativity preserving maps on rank-k matrices over division rings ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On centralizing additive maps on rank one triangular matrices over division rings ⋮ Commuting maps on strictly upper triangular matrix rings ⋮ Unnamed Item ⋮ 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 ⋮ Commuting maps on rank one triangular matrices ⋮ Power commuting additive maps on rank-klinear transformations ⋮ Centralizing traces and Lie-type isomorphisms on generalized matrix algebras: a new perspective ⋮ Power commuting traces of bilinear maps on invertible elements ⋮ Commuting maps on invertible triangular matrices over \(\mathbb{F}_2\) ⋮ Commuting additive maps on tensor products of matrices

Cites Work

• Commuting maps on some subsets of matrices that are not closed under addition
• Commuting maps on rank-\(k\) matrices
• Centralizing mappings and derivations in prime rings
• Centralizing maps on invertible or singular matrices over division rings.

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