Commuting maps on rank one triangular matrices

• Main Authors: Chooi, Wai Leong, Mutalib, M. H. A., Tan, L. Y.
• Format: Article
• Published: Elsevier Science Inc 2021
• Subjects: QA Mathematics
• Online Access: http://eprints.um.edu.my/27015/

Let n >= 2 be an integer and let T-n(F) be the algebra of n x n upper triangular matrices over an arbitrary field F. In this paper, a complete structural characterization of commuting additive maps psi : T-n(F) -> T-n(F) on rank one triangular matrices, i.e., additive maps psi satisfying psi(A...