On the semisimilarity and consemisimilarity of split quaternions
type: Item
instance of: scholarly article
title: On the semisimilarity and consemisimilarity of split quaternions
zbMATH Open document ID: 1343.15019
author: Onder Gokmen Yildiz
author: Hidayet Hüda Kösal
author: Murat Tosun
published in: Advances in Applied Clifford Algebras
publication date: 2016-06-27T00:00:00Z
review text: The authors introduce the concept of semisimilarity and consemisimilarity of split quaternions. They also examine the solvability conditions and general solutions of systems of the form \(xay=b\), \(ybx=a\) and \(\tilde{x}ay=b\), \(\tilde{y}bx=a\) in split quaternions. If there exist \(x\) and \(y\) that satisfy the first equations system, then \(a\) and \(b\) are said to be semisimilar. If there exist \(x\) and \(y\) that satisfy the second equations system, then \(a\) and \(b\) are said to be consemisimilar.
reviewed by: Andreas Arvanitoyeorgos
Mathematics Subject Classification ID: 15B33
Mathematics Subject Classification ID: 15A21
zbMATH DE Number: 6598538
zbMATH Keywords: split quaternion
zbMATH Keywords: semisimilarity
zbMATH Keywords: semiconsimilarity
MaRDI profile type: Publication
full work available at URL: s00006-015-0633-y
OpenAlex ID: W2278945806
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DOI: 10.1007/S00006-015-0633-Y
description: scientific article; zbMATH DE number 6598538