Commuting maps over the ring of strictly upper triangular matrices.

DOI10.1016/j.laa.2016.05.041zbMath1348.16028OpenAlexW2411888977MaRDI QIDQ306434

Jordan Bounds

Publication date: 31 August 2016

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

Full work available at URL: https://doi.org/10.1016/j.laa.2016.05.041

zbMATH Keywords

commuting mapslinear mapsrings of upper triangular matrices

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Automorphisms and endomorphisms (16W20) Linear transformations, semilinear transformations (15A04)

Related Items (14)

Skew-symmetric biderivations and linear commuting maps on the conformal Galilei algebra ⋮ Unnamed Item ⋮ Biderivations of the twisted Heisenberg–Virasoro algebra and their applications ⋮ Unnamed Item ⋮ Nonadditive commuting mappings on triangular n-matrix rings ⋮ Commuting maps on strictly upper triangular matrix rings ⋮ Biderivations of the planar Galilean conformal algebra and their applications ⋮ Biderivations of finite-dimensional complex simple Lie algebras ⋮ Nonadditive commuting maps of unital rings with idempotents ⋮ Linear Lie centralizers of the algebra of strictly block upper triangular matrices ⋮ Nonlinear anti-commuting maps of strictly triangular matrix Lie algebras ⋮ Nonlinear Jordan centralizer of strictly upper triangular matrices ⋮ Nonlinear skew commuting maps on \(*\)-rings ⋮ Linear Lie centralizers of the algebra of dominant block upper triangular matrices

Cites Work

• Commuting maps: a survey.
• Centralizing mappings and derivations in prime rings
• Matrix Analysis
• Functional identities on upper triangular matrix algebras

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