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Commutative Quaternion Matrices

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Abstract

In this study, we introduce the concept of commutative quaternions and commutative quaternion matrices. Firstly, we give some properties of commutative quaternions and their fundamental matrices. After that we investigate commutative quaternion matrices using properties of complex matrices. Then we define the complex adjoint matrix of commutative quaternion matrices and give some of their properties.

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Authors and Affiliations

  1. Faculty of Arts and Sciences, Department of Mathematics, Sakarya University, Sakarya, Turkey

    Hidayet Hüda Kösal & Murat Tosun

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  1. Hidayet Hüda Kösal
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  2. Murat Tosun
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Correspondence to Hidayet Hüda Kösal.

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Kösal, H.H., Tosun, M. Commutative Quaternion Matrices. Adv. Appl. Clifford Algebras 24, 769–779 (2014). https://doi.org/10.1007/s00006-014-0449-1

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  • DOI: https://doi.org/10.1007/s00006-014-0449-1

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