Commuting maps on rank k triangular matrices

• Main Authors: Chooi, Wai Leong, Kwa, Kiam Heong, Tan, Li Yin
• Format: Article
• Published: Taylor & Francis Ltd 2020
• Subjects: QA Mathematics
• Online Access: http://eprints.um.edu.my/36699/
• Institution: Universiti Malaya

Let n >= 2 be an integer and let F be a field with vertical bar F vertical bar >= 3. Let T-n(F) be the ring of n x n upper triangular matrices over F with centre Z. Fixing an integer 2 <= k <= n,we prove thatan additive map psi: T-n (F) -> T-n(F) satisfies A psi (A) = psi(A)A for all...