Geodesic
Commutativity for Matrices of Quaternions
Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 21-24

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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, i 1, i 2, i 3 as generators 
Carlson, R. E.; Cullen, C. G. Commutativity for Matrices of Quaternions. Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 21-24. doi: 10.4153/CJM-1968-003-8
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[2] 2. Cullen, C. G., Matrices and linear transformations (Reading, Mass., 1966). Google Scholar

[3] 3. Rinehart, R. F., Elements of a theory of intrinsic functions on algebras, Duke Math. J., 27 1960), 1–19. Google Scholar

[4] 4. Rinehart, R. F., Intrinsic function on matrices, Duke Math. J., 28 (1961), 291–300. Google Scholar

[5] 5. Wiegman, N. A., Some theorems on matrices with real quaternion elements, Can. J. Math., 7 1955), 191–201. Google Scholar

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