Power commuting additive maps on rank-klinear transformations

DOI10.1080/03081087.2019.1600465zbMath1460.15025OpenAlexW2933459864MaRDI QIDQ4965670

Cheng-Kai Liu, Ping-Han Chou

Publication date: 9 March 2021

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

Full work available at URL: https://doi.org/10.1080/03081087.2019.1600465

zbMATH Keywords

linear transformationmatrixcommuting mapfunctional identity

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Commutativity of matrices (15A27) Linear transformations, semilinear transformations (15A04) Finite-dimensional division rings (16K20) Matrices over function rings in one or more variables (15A54) Skew fields, division rings (12E15) Functional identities (associative rings and algebras) (16R60)

Related Items (5)

An Engel condition with two generalized derivations on Lie ideals of prime rings ⋮ Commuting maps on strictly upper triangular matrix rings ⋮ The structure of \(n\)-commuting additive maps on Lie ideals of prime rings ⋮ Centralizing additive maps on rank r block triangular matrices ⋮ Annihilators of power values of derivations on Lie ideals of prime rings

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