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Commutativity for Matrices of Quaternions

  • R. E. Carlson (a1) and C. G. Cullen (a1)

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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

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References

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1. Cullen, C. G., Intrinsic functions on matrices of real quaternions, Can. J. Math., 15 (1963), 456466.
2. Cullen, C. G., Matrices and linear transformations (Reading, Mass., 1966).
3. Rinehart, R. F., Elements of a theory of intrinsic functions on algebras, Duke Math. J., 27 1960), 119.
4. Rinehart, R. F., Intrinsic function on matrices, Duke Math. J., 28 (1961), 291300.
5. Wiegman, N. A., Some theorems on matrices with real quaternion elements, Can. J. Math., 7 1955), 191201.
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