Homomorphisms of commutativity relation

DOI10.1080/03081087.2015.1066299zbMath1347.15023OpenAlexW1539471071MaRDI QIDQ2805675

Bojan Kuzma, Gregor Dolinar

Publication date: 12 May 2016

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

Full work available at URL: https://doi.org/10.1080/03081087.2015.1066299

zbMATH Keywords

matrix algebracentralizerscommutativitypreserverscommuting graphhomomorphisms of commuting graphs

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Commutativity of matrices (15A27) Linear transformations, semilinear transformations (15A04) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60) Linear preserver problems (15A86)

Related Items (3)

A note on commutativity preserving maps on M_n(ℝ) ⋮ On the lower bound for diameter of commuting graph of prime-square sized matrices ⋮ Symmetrized Birkhoff-James orthogonality in arbitrary normed spaces

Cites Work

• On the diameters of commuting graphs
• Reflexivity defect of spaces of linear operators
• Linear maps that preserve commuting pairs of matrices
• An elementary proof of the fundamental theorem of projective geometry
• Extremal matrix centralizers
• On maximal distances in a commuting graph
• Linear transformations on matrices: The invariance of commuting pairs of matrices

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