Power commuting additive maps on invertible or singular matrices

DOI10.1016/j.laa.2017.04.038zbMath1368.15015OpenAlexW2611361913MaRDI QIDQ2013182

Cheng-Kai Liu, Jheng-Jie Yang

Publication date: 3 August 2017

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

Full work available at URL: https://doi.org/10.1016/j.laa.2017.04.038

zbMATH Keywords

invertible matricessingular matricesfunctional identitiescommuting maps

Mathematics Subject Classification ID

Commutativity of matrices (15A27) Linear preserver problems (15A86) Functional identities (associative rings and algebras) (16R60)

Related Items

Nonadditive strong commutativity preserving maps on rank-k matrices over division rings, Commuting maps on strictly upper triangular matrix rings, Additiven-commuting maps on semiprime rings, Functional identities and their applications, Unnamed Item, Power commuting additive maps on rank-klinear transformations, Centralizing additive maps on rank r block triangular matrices, Centralizing traces and Lie-type isomorphisms on generalized matrix algebras: a new perspective, Power commuting traces of bilinear maps on invertible elements, Commuting maps on invertible triangular matrices over \(\mathbb{F}_2\)

Cites Work

• Unnamed Item
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• An Engel condition with skew derivations for one-sided ideals
• Functional identities in one variable.
• Commuting maps on some subsets of matrices that are not closed under addition
• On generalized biderivations and related maps
• Commuting maps on rank-\(k\) matrices
• Strong commutativity preserving maps on subsets of matrices that are not closed under addition
• Centralizing mappings and derivations in prime rings
• Centralizing maps on invertible or singular matrices over division rings.
• Linear Preserver Problems
• Commuting Traces of Biadditive Maps on Invertible Elements
• Commuting Involution
• Involution Satisfying an Engel Condition
• Commuting traces of multiadditive maps on invertible and singular matrices
• An Engel condition withb-generalized derivations
• Weakly commuting maps on the set of rank-1 matrices
• Additive maps on rank-smatrices
• ON n-CENTRALIZING GENERALIZED DERIVATIONS IN SEMIPRIME RINGS WITH APPLICATIONS TO C*-ALGEBRAS
• On additive maps of prime rings satisfying the engel condition
• On additive maps of prime rings
• Commuting traces on invertible and singular operators
• Involution satisfying a local Engel or power commuting condition
• On skew-commuting mappings of rings
• Decompositions of Quotient Rings andm-Power Commuting Maps
• m-Power Commuting MAPS on Semiprime Rings
• Commuting maps on rank-k matrices
• Additive maps on invertible matrices