Continuous maps on triangular matrices that preserve commutativity

DOI10.1080/03081087.2015.1114986zbMath1346.15016OpenAlexW2180564120MaRDI QIDQ5741240

Roksana Słowik

Publication date: 22 July 2016

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

Full work available at URL: https://doi.org/10.1080/03081087.2015.1114986

zbMATH Keywords

nonlinear preservertriangular matricescommutativity preserver

Mathematics Subject Classification ID

Commutativity of matrices (15A27) Linear preserver problems (15A86)

Cites Work

• Commutativity preserving maps
• Linear maps that preserve commuting pairs of matrices
• Commutativity preserving linear maps and Lie automorphisms of triangular matrix algebras
• Extremal matrix centralizers
• A Note on Bruhat Decomposition ofGL(n) over Local Principal Ideal Rings
• Commutativity preserving maps on M_n(R)
• Linear transformations on matrices: The invariance of commuting pairs of matrices
• Additive mappings preserving commutativity
• Maps on Matrix Algebras Preserving Commutativity
• The group of commutativity preserving maps on upper triangular matrices over a commutative ring
• Nonlinear commutativity-preserving maps on Hermitian matrices

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