Commutativity for Matrices of Quaternions
Robert E. Carlson, C. G. Cullen · Canadian Journal of Mathematics · 1968
For any ring we shall denote by the ring of all n × n matrices with elements from and by the set of all polynomials in x with coefficients from . will denote the non-commutative four-dimensional division algebra of real quaternions with 1, i1, i2, i3 as generators