Some Equivalence Relations and Results over the Commutative Quaternions and Their Matrices

Autor: Kosal Hidayet Huda, Tosun Murat
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 25, Iss 3, Pp 125-142 (2017)
Druh dokumentu: article
ISSN: 1844-0835
DOI: 10.1515/auom-2017-0040
Popis: In this paper, we give some equivalence relations and results over the commutative quaternions and their matrices. In this sense, consimilarity, semisimilarity, and consemisimilarity over the commutative quaternion algebra and commutative quaternion matrix algebra are established. Equalities of these equivalence relations are explicitly determined. Also Syvester-s-Conjugate commutative quaternion matrix equations are studied by means of real representation of the commutative quaternion matrices and consimilarity of the two commutative quaternion matrices.
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