A Unified Approach: Split Quaternions with Quaternion Coefficients and Quaternions with Dual Coefficients

A Unified Approach: Split Quaternions with Quaternion Coefficients and Quaternions with Dual Coefficients

This paper aims to present, in a unified manner, results which are valid on both split quaternions with quaternion coefficients and quaternions with dual coefficients, simultaneously, calling the attention to the main differences between these two quaternions. Taking into account some results obtain...

Full description

Bibliographic Details
Main Authors: Emel Karaca, Fatih Yılmaz, Mustafa Çalışkan
Format: Article
Language:English
Published: MDPI AG 2020-12-01
Series:Mathematics
Subjects:
quaternions
split quaternions with quaternion coefficients
dual quaternions
Online Access:https://www.mdpi.com/2227-7390/8/12/2149
id doaj-05c42508386549d7b4979fa7cff1476c
record_format Article
spelling doaj-05c42508386549d7b4979fa7cff1476c2020-12-03T00:01:05ZengMDPI AGMathematics2227-73902020-12-0182149214910.3390/math8122149A Unified Approach: Split Quaternions with Quaternion Coefficients and Quaternions with Dual CoefficientsEmel Karaca0Fatih Yılmaz1Mustafa Çalışkan2Polatlı Science and Arts Faculty, Ankara Hacı Bayram Veli University, Ankara 06900, TurkeyPolatlı Science and Arts Faculty, Ankara Hacı Bayram Veli University, Ankara 06900, TurkeyFaculty of Science, Gazi University, Ankara 06560, TurkeyThis paper aims to present, in a unified manner, results which are valid on both split quaternions with quaternion coefficients and quaternions with dual coefficients, simultaneously, calling the attention to the main differences between these two quaternions. Taking into account some results obtained by Karaca, E. et al., 2020, each of these quaternions is studied and some important differences are remarked on.https://www.mdpi.com/2227-7390/8/12/2149quaternionssplit quaternions with quaternion coefficientsdual quaternions
collection DOAJ
language English
format Article
sources DOAJ
author Emel Karaca
Fatih Yılmaz
Mustafa Çalışkan
spellingShingle Emel Karaca
Fatih Yılmaz
Mustafa Çalışkan
A Unified Approach: Split Quaternions with Quaternion Coefficients and Quaternions with Dual Coefficients
Mathematics
quaternions
split quaternions with quaternion coefficients
dual quaternions
author_facet Emel Karaca
Fatih Yılmaz
Mustafa Çalışkan
author_sort Emel Karaca
title A Unified Approach: Split Quaternions with Quaternion Coefficients and Quaternions with Dual Coefficients
title_short A Unified Approach: Split Quaternions with Quaternion Coefficients and Quaternions with Dual Coefficients
title_full A Unified Approach: Split Quaternions with Quaternion Coefficients and Quaternions with Dual Coefficients
title_fullStr A Unified Approach: Split Quaternions with Quaternion Coefficients and Quaternions with Dual Coefficients
title_full_unstemmed A Unified Approach: Split Quaternions with Quaternion Coefficients and Quaternions with Dual Coefficients
title_sort unified approach: split quaternions with quaternion coefficients and quaternions with dual coefficients
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2020-12-01
description This paper aims to present, in a unified manner, results which are valid on both split quaternions with quaternion coefficients and quaternions with dual coefficients, simultaneously, calling the attention to the main differences between these two quaternions. Taking into account some results obtained by Karaca, E. et al., 2020, each of these quaternions is studied and some important differences are remarked on.
topic quaternions
split quaternions with quaternion coefficients
dual quaternions
url https://www.mdpi.com/2227-7390/8/12/2149
work_keys_str_mv AT emelkaraca aunifiedapproachsplitquaternionswithquaternioncoefficientsandquaternionswithdualcoefficients
AT fatihyılmaz aunifiedapproachsplitquaternionswithquaternioncoefficientsandquaternionswithdualcoefficients
AT mustafacalıskan aunifiedapproachsplitquaternionswithquaternioncoefficientsandquaternionswithdualcoefficients
AT emelkaraca unifiedapproachsplitquaternionswithquaternioncoefficientsandquaternionswithdualcoefficients
AT fatihyılmaz unifiedapproachsplitquaternionswithquaternioncoefficientsandquaternionswithdualcoefficients
AT mustafacalıskan unifiedapproachsplitquaternionswithquaternioncoefficientsandquaternionswithdualcoefficients
_version_ 1724401696089571328

Similar Items