Universal similarity factorization equalities for commutative quaternions and their matrices |
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| Authors: | Hidayet Hüda Kösal Murat Tosun |
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| Institution: | Department of Mathematics, Faculty of Arts and Sciences, Sakarya University , Sakarya, Turkey. |
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| Abstract: | In this work, we have established universal similarity factorization equalities over the commutative quaternions and their matrices. Based on these equalities, real matrix representations of commutative quaternions and their matrices have been derived, and their algebraic properties and fundamental equations have been determined. Moreover, illustrative examples are provided to support our results. |
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| Keywords: | Commutative quaternions and their matrices real matrix representations universal similarity factorization equality |
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