Lie product preserving maps on Mn(F)

DOI10.2298/FIL1716335DzbMath1499.15097MaRDI QIDQ5019635

Bojan Kuzma, Janko Marovt, Gregor Dolinar

Publication date: 10 January 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

commutativityLie productnon-linear preserver

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Commutativity of matrices (15A27) Linear transformations, semilinear transformations (15A04) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Linear preserver problems (15A86)

Related Items (2)

Lie properties in associative algebras ⋮ Best approximation of \(\kappa \)-random operator inequalities in matrix MB-algebras

Cites Work

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• On the diameters of commuting graphs
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• Maps on idempotent matrices over division rings
• A note on Lie product preserving maps on M_n (ℝ)
• Commutativity preservers via maximal centralizers
• Maps on upper triangular matrices preserving Lie products
• Commutativity preserving maps on M_n(R)
• Matrix Analysis
• Non-linear commutativity preserving maps onM_n

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