Nonadditive strong commutativity preserving maps on rank-k matrices over division rings
From MaRDI portal
Publication:3174847
DOI10.7153/oam-2018-12-35zbMath1395.15022OpenAlexW2807158649WikidataQ129713581 ScholiaQ129713581MaRDI QIDQ3174847
Cheng-Kai Liu, Pao-Kuei Liau, Yuan-Tsung Tsai
Publication date: 18 July 2018
Published in: Operators and Matrices (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.7153/oam-2018-12-35
Endomorphism rings; matrix rings (16S50) Commutativity of matrices (15A27) Linear preserver problems (15A86) Functional identities (associative rings and algebras) (16R60)
Related Items (max. 100)
On centralizing additive maps on rank one triangular matrices over division rings ⋮ Strong commutativity preserving additive maps on rank k triangular matrices ⋮ Power commuting additive maps on rank-klinear transformations ⋮ Commuting maps on invertible triangular matrices over \(\mathbb{F}_2\)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An Engel condition with skew derivations for one-sided ideals
- Nonlinear strong commutativity preserving maps on skew elements of prime rings with involution.
- Commuting maps on some subsets of matrices that are not closed under addition
- Strong commutativity preserving generalized derivations on right ideals.
- Strong commutativity preserving maps on rings.
- On derivations in semiprime rings.
- Commutativity preserving maps revisited.
- Strong commutativity-preserving generalized derivations on semiprime rings.
- A note on \((\alpha,\beta)\)-derivations.
- Commuting maps on rank-\(k\) matrices
- Power commuting additive maps on invertible or singular matrices
- Strong commutativity preserving maps on subsets of matrices that are not closed under addition
- Centralizing maps on invertible or singular matrices over division rings.
- Hypercentralizing generalized skew derivations on left ideals in prime rings.
- Strong commutativity preserving maps on Lie ideals.
- On strong commutativity preserving mappings
- Linear Preserver Problems
- Commuting Traces of Biadditive Maps on Invertible Elements
- Strong commutativity and Engel condition preserving maps in prime and semiprime rings
- Commuting traces of multiadditive maps on invertible and singular matrices
- Nonadditive Strong Commutativity Preserving Maps
- Strong commutativity preserving generalized derivations on triangular rings
- Strong commutativity preserving maps on von Neumann algebras
- Skew Derivations in Banach Algebras
- Weakly commuting maps on the set of rank-1 matrices
- Strong $2$-commutativity preserving maps on prime rings
- Additive maps on rank-smatrices
- Strong commutativity preserving generalized derivations on Lie ideals
- Nonlinear Strong Commutativity Preserving Maps on Prime Rings
- On the distance of the composition of two derivations to the generalized derivations
- Commuting Traces of Biadditive Mappings, Commutativity-Preserving Mappings and Lie Mappings
- On Commutativity and Strong Commutativity-Preserving Maps
- Strong Commutativity Preserving Maps of Semiprime Rings
- The Structure of Triple Derivations on Semisimple Banach *-Algebras
- Generalized skew derivations on semiprime rings
- Commuting traces on invertible and singular operators
- Generalized Skew Derivations with Nilpotent Values in Prime Rings
- Generalized skew derivations with nilpotent values on left ideals of rings and Banach algebras
- Commuting maps on rank-k matrices
- Engel-Type Conditions Involving Two Generalized Skew Derivations in Prime Rings
- Additive maps on invertible matrices
This page was built for publication: Nonadditive strong commutativity preserving maps on rank-k matrices over division rings
