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

Authors :
Kösal, Hidayet Hüda
Tosun, Murat
Source :
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica. 2017, Vol. 25 Issue 3, p125-142. 18p.
Publication Year :
2017

Abstract

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
12241784
Volume :
25
Issue :
3
Database :
Academic Search Index
Journal :
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Publication Type :
Academic Journal
Accession number :
128682720
Full Text :
https://doi.org/10.1515/auom-2017-0040