k-Commuting maps on triangular algebras
Copyright policy )k-Commuting maps on triangular algebras
In this paper, \(k\)-commuting maps on certain triangular algebras are determined. As an application it is shown that every \(k\)-commuting map on an upper triangular matrix algebra over a unital commutative ring of 2-torsion free or a nest algebra is proper.
- Yulin Normal University China (People's Republic of)
- Jilin Normal University China (People's Republic of)
- Shangrao Normal University China (People's Republic of)
- Jilin Normal University China (People's Republic of)
- Shanghai Normal University China (People's Republic of)
Numerical Analysis, Algebra and Number Theory, Algebraic systems of matrices, nest algebra, upper triangular matrix algebra, Commuting maps, Nest algebras, Center, normalizer (invariant elements) (associative rings and algebras), Commutativity of matrices, Other algebras built from modules, Nest algebras, CSL algebras, k-Commuting maps, Discrete Mathematics and Combinatorics, unital commutative ring, 2-torsion free, Triangular rings, Geometry and Topology, Derivations, actions of Lie algebras, Upper triangular matrix algebras, \(k\)-commuting map, triangular algebra
Numerical Analysis, Algebra and Number Theory, Algebraic systems of matrices, nest algebra, upper triangular matrix algebra, Commuting maps, Nest algebras, Center, normalizer (invariant elements) (associative rings and algebras), Commutativity of matrices, Other algebras built from modules, Nest algebras, CSL algebras, k-Commuting maps, Discrete Mathematics and Combinatorics, unital commutative ring, 2-torsion free, Triangular rings, Geometry and Topology, Derivations, actions of Lie algebras, Upper triangular matrix algebras, \(k\)-commuting map, triangular algebra
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