Published online by Cambridge University Press: 20 November 2018
Let Mn denote the space of all n-square matrices over an algebraically closed field F. For A, B ∊ Mn, let
define the iterated commutators of A and B. Recently several research papers (1, 2, 4, and 5) have appeared on these commutators. In (1), Kato and Taussky have proved that for n = 2 the iterated commutators of A and B satisfy the linear relation